Question

1. a circle has a diameter of 13 units. what is the area of the circle to the nearest hundredth of a square unit? a. 40.84 b. 132.73 c. 530.93 d. 2,123.72

Explanation:

Step1: Find the radius

The diameter of the circle is 13 units. The radius \( r \) is half of the diameter, so \( r=\frac{13}{2} = 6.5 \) units.

Step2: Calculate the area of the circle

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 6.5 \) into the formula: \( A=\pi\times(6.5)^{2}=\pi\times42.25\approx3.14159\times42.25\approx132.73 \) square units.

Answer:

B. 132.73