Question

What is the area of this sector?

Answer 1

`\huge\boxed{\sf A = (9 \pi)/(8) \ sq. \ units}`

Explanation:

Given:

Radius = r = 3 units

Angle = θ =
`\displaystyle (\pi)/(4) rad`

Required:

Area of sector = A = ?

Formula:

`\displaystyle Area \ of \ sector = (1)/(2) r^2 \theta`

Solution:

Put the given data in the above formula.

`\displaystyle A = (1)/(2) (3)^2((\pi)/(4) )\\\\A = (1)/(2 * 4) (9)(\pi)\\\\A = (9)/(8) (\pi)\\\\A = (9 \pi)/(8) \ sq. \ units\\\\\rule[225]{225}{2}`