Q&A for How to Find the Area of a Semicircle

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  • Question
    How do I find the area of a circle?
    Donagan
    Donagan
    Top Answerer
    Multiply pi by the square of the radius.
  • Question
    Should I follow PEMDAS in the formula?
    Donagan
    Donagan
    Top Answerer
    Yes, PEMDAS has to be used because of the exponentiation, you have to do that first. If you rewrite it as π×r×r/2 then you don't have to worry about PEMDAS, because it involves only multiplication and division.
  • Question
    What is the area of a semicircle with the radius of 1.4 m?
    Community Answer
    Community Answer
    Given a radius of circle = 1.4m. As we know, the area of semicircle=((pie)*r*r)/2=(3.14*1.4*1.4)/(2)=3.078 m square.
  • Question
    How do you find the radius of a semicircle when you have the perimeter?
    Community Answer
    Community Answer
    This question uses the concept of circumference rather than area, so be sure to read about calculating the circumference of a circle. To find the radius from the perimeter, you need to know that the perimeter (also called "circumference" when talking about a full circle) of a full circle is given by 2*pi*r. Since we need the perimeter of a semicircle instead of a full circle, divide this by 2 (since the arc length is half) but then add the diameter, which is two times the radius (to account for the straight part across the bottom). So, perimeter of semicircle = (2*pi*r)/2 + 2r = (2 + pi)r. Solve for r = perimeter / (2 + pi), and you have your radius!
  • Question
    Why do we need to divide it by 2?
    Donagan
    Donagan
    Top Answerer
    Because "semi" means "half."
  • Question
    What is the perimeter if the semicircle's diameter is 12cm?
    Donagan
    Donagan
    Top Answerer
    If you're asking about the circumference of a semicircle (the length of the arc), a full circle's circumference is pi multiplied by the diameter, so a semicircle's circumference would be half that.
  • Question
    If the area of a semicircle is 25.12 square meters, what is the diameter?
    Community Answer
    Community Answer
    First multiply the area by 2. Then divide by pi. Then take the square root. Then double that number and you get the diameter in meters.
  • Question
    What if there is no number given, and I'm supposed to just find the area of the circle without any clue?
    Donagan
    Donagan
    Top Answerer
    If you don't know the radius, diameter, or circumference, you can't find the area.
  • Question
    What is the area of half a semi circle?
    Community Answer
    Community Answer
    The area of a circle is πr², where r is the radius of the circle. The area of half the semicircle is one-quarter of that.
  • Question
    How do I find the total perimeter of an object that measures 3cm, 5cm, 7cm, 2cm, 10cm and 7cm?
    LyKaxandra Caimoy
    LyKaxandra Caimoy
    Community Answer
    If the values you gave are the measurements of the sides, you just need to add them.
  • Question
    How do I find the diameter of a circle?
    Community Answer
    Community Answer
    The diameter is twice the radius. It's also the circumference divided by pi.
  • Question
    How do I find the radius given the arc length?
    Donagan
    Donagan
    Top Answerer
    If you're referring to a semicircle, double the arc length, then divide by twice pi (π x 2).
  • Question
    How do I find the length of an arc if I know the radius and the height?
    Community Answer
    Community Answer
    To find the diameter, multiply the radius by two and you should get the diameter and that is the length.
  • Question
    If the perimeter of semicircle park is 72 m, how do I find its area and radius?
    Donagan
    Donagan
    Top Answerer
    Assuming the "perimeter" consists of only the curved side of the park, the circumference of the full circle would be 144. Divide that by pi to get a diameter of 45.84. The radius is half the diameter, or 22.92 m. The area is πr², or 1,650.36 square meters.
  • Question
    How do I find the radius when I only have the length of the arc?
    Donagan
    Donagan
    Top Answerer
    You double the arc, then divide by pi to get the diameter, and divide again by 2 to get the radius. (It's quicker to divide the full-circle circumference by twice pi, or 6.28.)
  • Question
    What is the area of the semicircle if it has a diameter of 12 pi?
    Donagan
    Donagan
    Top Answerer
    The radius would be 6π, so the area of the full circle would be π(6π)² = 36π³, and the area of the semicircle would be 18π³.
  • Question
    How do I find the radius without knowing the area?
    Community Answer
    Community Answer
    To find the radius, you just need to know the diameter of the semicircle. The area is not needed.
  • Question
    What is the formula for the area of a semicircle in terms of its diameter?
    Community Answer
    Community Answer
    For the area of a semicircle we use the formula: (π * r^2) / 2 for a given radius r. Because the diameter is half the radius, we can make the conversion r = d / 2, which gives us the following: (π * (d / 2)^2) / 2, which when simplified will give us (π * d^2) / 8. Therefore the formula for the area of a semicircle in terms of its diameter is (π * d^2) / 8 for diameter d.
  • Question
    How do I find the area of a semicircle with a diameter of 55 cm?
    Community Answer
    Community Answer
    The formula for area of a semicircle is πr²/2. π55²/2 = π3025/2 = 9498.5/2 = 4749.25 cm.
  • Question
    Find the area of a semicircle when its diameter is 2.6m?
    Donagan
    Donagan
    Top Answerer
    The radius is 1.3 m. Square that, multiply by pi, then divide by 2.
  • Question
    How can I get the area for a semi circle in a simplified way?
    Donagan
    Donagan
    Top Answerer
    Find the area of the full circle (πr²) and divide by 2.
  • Question
    Find the approximate area of a semicircle with a radius of 6 centimeters. Hint: remember a semicircle is 1/2 of a circle.
    Donagan
    Donagan
    Top Answerer
    Area of a semicircle = πr² / 2 = (3.14)(36) / 2 = 56.52 square centimeters.
  • Question
    Do we still use the formula for radius (2 times pi times radius)?
    Donagan
    Donagan
    Top Answerer
    That is the formula for the circumference of a circle.
  • Question
    What is the volume of a cylinder?
    Donagan
    Donagan
    Top Answerer
    V = πr²h, where r is the radius and h is the height or length of the cylinder.
  • Question
    How do I find the area of 1/4 of a circle or 3/4 of a circle?
    Donagan
    Donagan
    Top Answerer
    You would need to know the radius of the circle. Then using A=πr², find the area of the full circle. Divide that by 4 to find the area of 1/4 of the circle. Then multiply that by 3 to find the area of 3/4 of the circle.
  • Question
    Find the area of a semi-circle with diameter ‘d’ cm?
    Donagan
    Donagan
    Top Answerer
    If the diameter is d, the radius is d/2. The area of the semicircle is (πr²) / 2 = [(π)(d/2)²] / 2 = [(π)(d²/4)] / 2.
  • Question
    Find the area of a semicircular shape that is 28 cm. Pi is 22/7?
    Donagan
    Donagan
    Top Answerer
    If we assume the 28 cm refers to the radius, then the area of the semicircle is [(π)(r²)] / 2 = [22/7)(28)²] / 2 = 1,232 square centimeters.
  • Question
    I have a semicircular backyard filled with grass, and I plan to build a circular patio in it. How many square metres of grass will I cut if the radius is 3 metres?
    Donagan
    Donagan
    Top Answerer
    You would need to know two radii, one for the semicircle and one for the circle. You'd then calculate the two areas and subtract the circle's area from the semicircle's area.
  • Question
    How do I find the perimeter of a semicircle if I only have the radius?
    Donagan
    Donagan
    Top Answerer
    Double the radius to get the diameter. Multiply by pi to get the circumference of the full circle. Divide by 2 to get the circumference of the semicircle.
  • Question
    How to find a area of a semicircle given radius of 56 pi = 22/7?
    Donagan
    Donagan
    Top Answerer
    If r = 56, A = (πr²) / 2 = [(22/7)(3136)] / 2 = 4928.
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