Question

The logo for a new company is a circle divided into 24 equally sized sectors. Six of the sectors are white, and the others are different colors.

The area of one of the white sectors is 13π/50 inches squared.

What is the radius of the circle? Enter your answer rounded to the nearest hundredth.

Answer 1

Answer:

r = 2.5

Step-by-step explanation:

the area of the whole circle = $\frac{13}{50}$*π * 24

A = πr² = (13π*24)/50

r = √((13*24)/50) = 2.5 inches

Answer 2

The radius of the circle is 2.50 inches.

What is the area of a circle?

The area of a circle is π(radius)² .

How to solve the problem?

One sector has an area of 13π/50 (inch)².

And there are 24 sectors of the circle.

The total area of the circle is hence, 24×(13π/50) (inch)².

Hence,

Area of circle=π(radius)²=πr²=24×(13π/50) (inch)²

⇒ r²=24×(13/50)

⇒r = 2.498 inches

⇒r ≈ 2.50 inches (rounded to the nearest hundredth).

Hence, the radius of the circle is 2.50 inches.

To learn more about the circle visit- https://brainly.com/question/11833983?referrer=searchResults

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