Question

Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.Kiran bought a wedge with a central angle of pi/2 radians and radius 3 inches. What is the area of the top surface of this wedge?

Answer 1

The area of any sector of a circle is

`A=(1)/(2)r^2\vartheta`

Where r is the radius of the circle and theta is the central angle of the sector in the radian measure

`\begin{gathered} r=3 \\ \vartheta=(\pi)/(2) \end{gathered}`

Substitute them in the rule above

`\begin{gathered} A=(1)/(2)(3)^2((\pi)/(2)) \\ A=(9)/(4)\pi \end{gathered}`

The area of the top wedge is 9/4 pi square inches

You can use pi = 3.14

A = 7.065 square inches