Question

Kiran bought a wedge with central of angle of pi/2 radians and radius 3 inches. What is the area of the top surface of the wedge?

Answer 1

Given

Kiran bought a wedge with central of angle of pi/2 radians and radius 3 inches.

To find: What is the area of the top surface of the wedge?

Step-by-step explanation:

It is given that,

Kiran bought a wedge with central of angle of pi/2 radians and radius 3 inches.

That implies,

`\begin{gathered} \theta=(\pi)/(2)\text{ }radians\text{ }=90\degree \\ r=3\text{ }inches \end{gathered}`

Then, the area of the top surface of the wedge is,

`\begin{gathered} Area\text{ }of\text{ }the\text{ }top\text{ }surface\text{ }of\text{ }the\text{ }wedge=(\theta)/(360)*\pi r^2 \\ =(90)/(360)*\pi(3)^2 \\ =(1)/(4)*9\pi \\ =(9)/(4)\pi\text{ }square\text{ }inches \end{gathered}`

Hence, the area of the top surface of the wedge is (9/4)π square inches.