Question

find the circumference and the area of a circle with radius 9 yd. use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers. circumference: area:

Explanation:

Step1: Calculate Circumference

The formula for the circumference of a circle is \( C = 2\pi r \). Given \( r = 9 \) yd and \( \pi = 3.14 \), substitute the values: \( C = 2\times3.14\times9 \). Calculate \( 2\times3.14 = 6.28 \), then \( 6.28\times9 = 56.52 \) yd.

Step2: Calculate Area

The formula for the area of a circle is \( A = \pi r^2 \). Substitute \( r = 9 \) yd and \( \pi = 3.14 \): \( A = 3.14\times9^2 \). First, \( 9^2 = 81 \), then \( 3.14\times81 = 254.34 \) yd².

Answer:

Circumference: \( 56.52 \) yd
Area: \( 254.34 \) yd²