Question

find the circumference of each circle. use your calculators value of π. round your answer to the nearest tenth.

1. 8 mi

50.3 mi
50.0 mi

1. 8.3 yd

52.2 yd
50.0 yd

Explanation:

Step1: Recall circumference formula

The formula for the circumference of a circle is $C = 2\pi r$, where $r$ is the radius of the circle.

Step2: Calculate for circle 9

For the circle with radius $r = 8$ mi, we substitute into the formula: $C=2\pi\times8=16\pi$ mi. Using a calculator's value of $\pi$, $C\approx16\times 3.14159 = 50.26544$ mi. Rounding to the nearest tenth, we get $C\approx50.3$ mi.

Step3: Calculate for circle 10

For the circle with radius $r = 8.3$ yd, we substitute into the formula: $C = 2\pi\times8.3=16.6\pi$ yd. Using a calculator's value of $\pi$, $C\approx16.6\times3.14159 = 52.150394$ yd. Rounding to the nearest tenth, we get $C\approx52.2$ yd.

Answer:

For circle 9, the circumference is approximately $50.3$ mi.
For circle 10, the circumference is approximately $52.2$ yd.