Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5. a tank has a 10 foot radius. what is its circumference and area?

Question

  1. a tank has a 10 foot radius. what is its circumference and area?

Explanation:

Step1: Recall circumference formula

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius. Given \( r = 10 \) feet.
\( C = 2\times\pi\times10 = 20\pi \approx 20\times3.14 = 62.8 \) feet.

Step2: Recall area formula

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substituting \( r = 10 \) feet.
\( A=\pi\times10^{2}=100\pi\approx 100\times3.14 = 314 \) square feet.

Answer:

Circumference: \( 20\pi \) feet (or approximately 62.8 feet); Area: \( 100\pi \) square feet (or approximately 314 square feet)