Question

Craig purchases a bowl of circumference 43.96 cm. What is the area of thebowl?

Answer 1

Given a circle with radius "r", the area (A) and the circumference (C) of the circle are:

`\begin{gathered} A=\pi r^2 \\ C=2\pi r \end{gathered}`

To solve this question, follow the steps below.

Step 01: Use the formula of circumference to find the radius "r".

Given C = 43.96 cm, then:

`43.96=2\pi r`

Dividing both sides by 2π and using π = 3.14:

`\begin{gathered} (43.96)/(2\pi)=(2\pi)/(2\pi)r \\ 7=r \\ r=7cm \end{gathered}`

Step 02: Use the value of r to find the area.

Knowing that r = 7 cm:

`\begin{gathered} A=\pi r^2 \\ A=\pi *7^2 \\ A=49\pi \end{gathered}`

Using π = 3.14:

`\begin{gathered} A=49*3.14 \\ A=153.86cm^2 \end{gathered}`

Answer: área = 153.86 cm².