Question

7.9b

1. what is the area of the circle?

10 cm

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \( A=\pi r^{2} \), where \( r \) is the radius of the circle.

Step2: Identify the radius

From the problem, the radius \( r = 10\space cm \).

Step3: Substitute the radius into the formula

Substitute \( r = 10\) into \( A=\pi r^{2} \), we get \( A=\pi\times(10)^{2} \).

Step4: Calculate the area

\( A = 100\pi\space cm^{2}\). If we take \( \pi\approx3.14 \), then \( A\approx100\times3.14=314\space cm^{2}\).

Answer:

The area of the circle is \( 100\pi\space cm^{2}\) (or approximately \( 314\space cm^{2}\) when \( \pi\approx3.14 \)).