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

Answer:

60.39 inches

Step-by-step 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.

$r=\dfrac{18}{2} = 9\ inches$

Perimeter of the Pac-Man poster = Perimeter of $\frac{3}{4}$ circle + 2 sides

Perimeter of the Pac-Man poster = $\frac{3}{4}\times 2\times \pi \times 9$  + 9+9 = 42.39+28 = 60.39 inches