Question

A company’s logo was designed using circles of 3 different sizes . The diameters of two of the circles are shown .

Answer 1

Answer:

D. 254.34cm^2

Area = 254.34 cm^2

Completed 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?

A

56.52cm^2

B

141.30cm^2

C

1,017.36cm^2

D

254.34cm^2

Step-by-step explanation:

Diameter of the largest circle D = sum of diameters of the other two.

D = 12 + 6 = 18 cm

Area of a circle A = 1/4 × πD^2

D = 18 cm

Substituting the values;

A = 1/4 × π × 18^2

Area A = 254.34 cm^2

Answer 2

Answer:

D . 254.34 $cm^{2}$

Step-by-step explanation:

From the diagram,

the diameter of the big circle = 6 cm, and the diameter of the bigger circle = 12 cm.

So,

the diameter of the biggest circle = diameter of the big circle + diameter of the bigger circle

                                                    =  6 + 12

                                                    = 18 cm

Area of a circle can be determined by;

                  A  =  $\pi r^{2}$

where: $\pi$ is a constant of value $\frac{22}{7}$ ≅ 3.14, 'A' is the area and 'r' is the radius of the circle.

The biggest circles has a radius of $\frac{Diameter}{2}$

                                             =  $\frac{18}{2}$

                                             = 9 cm

Thus, the area of the biggest circle = $\pi r^{2}$

                                                          =  3.14 × $(9)^{2}$

                                                         = 3.14 × 81

                                                        = 254.34

The area of the biggest circle is 254.34 $cm^{2}$.