Question

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

Answer 1

D . 254.34
`cm^(2)`

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
`(22)/(7)` ≅ 3.14, 'A' is the area and 'r' is the radius of the circle.

The biggest circles has a radius of
`(Diameter)/(2)`

=
`(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)`.

Answer 2

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

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