Question

1. radius = 2.6 in
2. radius = 34.1 in
3. radius = 13.2 km
4. radius = 29.9 km

find the circumference of each circle. use your calculators value of π. round your answer to nearest tenth.
9)
8 mi
10)
8.3 yd

Explanation:

Step1: Recall the formula for circumference

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

Step2: Calculate for radius $r = 2.6$ in

$C_1=2\pi\times2.6\approx 2\times3.14159\times2.6 = 16.336268\approx16.3$ in

Step3: Calculate for radius $r = 34.1$ in

$C_2=2\pi\times34.1\approx 2\times3.14159\times34.1 = 214.270498\approx214.3$ in

Step4: Calculate for radius $r = 13.2$ km

$C_3=2\pi\times13.2\approx 2\times3.14159\times13.2 = 82.938696\approx82.9$ km

Step5: Calculate for radius $r = 29.9$ km

$C_4=2\pi\times29.9\approx 2\times3.14159\times29.9 = 187.838382\approx187.8$ km

Step6: Calculate for radius $r = 8$ mi

$C_5=2\pi\times8\approx 2\times3.14159\times8 = 50.26544\approx50.3$ mi

Step7: Calculate for radius $r = 8.3$ yd

$C_6=2\pi\times8.3\approx 2\times3.14159\times8.3 = 52.123494\approx52.1$ yd

Answer:

For radius $2.6$ in, circumference is approximately $16.3$ in.
For radius $34.1$ in, circumference is approximately $214.3$ in.
For radius $13.2$ km, circumference is approximately $82.9$ km.
For radius $29.9$ km, circumference is approximately $187.8$ km.
For radius $8$ mi, circumference is approximately $50.3$ mi.
For radius $8.3$ yd, circumference is approximately $52.1$ yd.