Question

A company's logo was designed using circles of 3 different. sizes. The diameters of two of the circles are shown. Which measurement is closest to the area of the largest circle in square centimeters?

Answer 1

254.34

Explanation:

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Answer 2

option D . 254.34cm^2

Explanation:

The picture of the question in the attached figure

The options are:

A . 56.52cm^2

B . 141.30cm^2

C . 1,017.36cm^2

D . 254.34cm^2

step 1

Find the diameter of the largest circle

we know that

The diameter of the largest circle is equal to the sum of the diameter of the two inside circles

so

`D=6+12=18\ cm`

step 2

Find the area of the largest circle

we know that

The area of the circle is given by the formula

`A=\pi r^2`

we have

`r=18/2=9\ cm` ----> the radius is half the diameter

assume

`\pi=3.14`

substitute

`A=(3.14)(9^2)=254.34\ cm^2`