
Meisa G. answered 12/12/19
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- First, modify the formula for the circumference of a circle to reflect that you are dealing with a semicircle. The formula for the circumference of a circle (C) is as follows:
- C = 2 x pi x radius (r)
- Since a semicircle is one half of a circle, the circumference of a semicircle is half the circumference of a circle. The formula for the circumference of a semicircle (SC) is the formula for the circumference of a circle multiplied by one half, or 0.5.
- SC = 0.5 x 2 x pi x r
- Since 0.5 x 2 = 1, you can write the equation this way:
- SC = pi x r
- Now solve the equation for r, since you are trying to solve for radius. Do this by dividing both sides by pi to get r by itself. The result is the following:
- r = SC ÷ pi
- Finally, plug in the value you have been given for the circumference of the semicircle and the value of pi to calculate the radius. For example, if the semicircle has a circumference of 2km , the calculation would look like this:
- r = 2 km ÷ 3.14 = .6369 km