Question

A Pac-Man poster is the shape of three-fourths of a circle with a diameter of 18 inches and two sides that are 9 inches each. What is the perimeter of this Pac-Man poster?

Answer 1

60.39 inches

Explanation:

Given that:

A Pac-Man poster which is having three fourth of a circle and there are two sides.

Diameter of circle = 18 inches

Sides of Pac-Man poster = 9 inches

To find:

Perimeter of the Pac-Man poster.

Solution:

Perimeter of a figure is nothing but equal to the periphery i.e. the outer area of the circle/figure.

Perimeter of a circle is given by the formula:

Perimeter =
`2\pi r`

`r` is the radius of the circle.

Radius is half of perimeter.

`r=(18)/(2) = 9\ inches`

Perimeter of the Pac-Man poster = Perimeter of
`(3)/(4)` circle + 2 sides

Perimeter of the Pac-Man poster =
`(3)/(4)* 2* \pi * 9` + 9+9 = 42.39+28 = 60.39 inches