Question

1. what is the radius of a circle (rounded to the nearest tenth) that has an area of 32?

10.2
5.1
3.2
6.4

Explanation:

Step1: Recall the area formula of a circle

The area \( A \) of a circle is given by the formula \( A=\pi r^{2} \), where \( r \) is the radius of the circle. We know that \( A = 32 \), so we can set up the equation \( 32=\pi r^{2} \).

Step2: Solve for \( r^{2} \)

Divide both sides of the equation by \( \pi \): \( r^{2}=\frac{32}{\pi} \)

Step3: Solve for \( r \)

Take the square root of both sides: \( r = \sqrt{\frac{32}{\pi}} \)

Step4: Calculate the value

We know that \( \pi\approx3.1416 \), so \( \frac{32}{\pi}\approx\frac{32}{3.1416}\approx10.1859 \). Then \( r=\sqrt{10.1859}\approx3.2 \) (rounded to the nearest tenth)

Answer:

C. 3.2