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

Answer:

option D . 254.34cm^2

Step-by-step 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

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