Question

A circular cookie cake is 113.04 square inches. What is the diameter of the cookie cake? Approximate using π = 3.14.

6 inches
12 inches
24 inches
36 inches

Answer 1

Answer:6 inches.

Step-by-step explanation: What is the radius of a circle with an area of 113.04 square inches?

Radius of the circle is of 3 inches.

Explanation:

It is given that the area of the circle is 113.04,

Let the radius of the circle be of "a" units

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From the properties of circle, we know : -

Area of circle = πr^2 , where r is the radius of the circle.

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Then, comparing the question with the identity :

= > πr^2 = 113.04 sq. inches

= > 3.14 x r^2 = 113.04 sq. inches

= > r^2 = 113.04 / 3.14 sq.inches

= > r^2 = 36 sq. inches

= > r = 6 inches

Hence,

r or radius of the circle is of 6 inches.

Answer 2

6 inches

Explanation:

a =
`\pi r^(2)`

113.04 = 3.14
`r^(2)` Divide both sides by 3.14

36 =
`r^(2)`

`√(36)` =
`\sqrt{r^(2) }`

6 = r

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