High School

A circle with a radius of 5 cm has an area of [tex]25\pi \, \text{cm}^2[/tex]. Which is the best approximation for the area of one-half of this circle?

A. 39.3 cm\(^2\)
B. 8.9 cm\(^2\)
C. 19.6 cm\(^2\)
D. 12.5 cm\(^2\)

Answer :

Final answer:

The best approximation for the area of one-half of the circle is 39.3 cm².

Explanation:

The area of a circle is given by the formula A = πr2, where r is the radius of the circle. In this case, the circle has a radius of 5 cm, so its area is 25π cm2. To find the area of one-half of the circle, we need to divide the area by 2. This gives us an area of 12.5π cm2. Since we need to provide a numerical approximation, we can use the value of π as 3.14, giving us an approximation of 39.3 cm2.

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