Question

If a circle has a diameter of 12 cm, what is its area? a. 38 cm^2 b. 113 cm^2 c. 276 cm^2 d. 452 cm^2

Answer 1

b. 113 cm^2

Formula

Using the formulas

A=πr2

d=2r

Solving for A

A=1

4πd2=1

4·π·122≈113.09734cm²

Answer 2

↠ Answer:

113 cm^2

↠ Explanation:

We're asked to find the area of a circle whose diameter is 12 cm.

Remember, a circle's area is given by the formula :

⇒
`\bf{A=\pi r^2}`

where r is the radius.

12 is our diameter; to find the radius, we divide the diameter by 2; the result is 6.

Substitute the values into the formula :

`\implies\bf{A=\pi*6^2}}\\\\\implies\bf{A=\pi*36}}\\\\\implies\bf{A=113\:cm^2}`

Therefore, the area is 113 cm^2. (the answer has been rounded)