Question

find the area of a sector of a circle with radius 14 cm,if the length of the corresponding arc is 22cm

Answer 1

this your corresponding area is 22 CM and radius is 14

Answer 2

The area of sector is 154 cm².

Step-by-step explanation:

It is given that,

Radius of the circle = 14 cm

Length of the corresponding arc = 22 cm

Length of the corresponding arc:

$l=\dfrac{\theta}{360}(2\pi r)$

where, θ is the central angle in degrees.

$22=\dfrac{\theta}{360}(2\pi r)$

Divide both sides by 2.

$11=\dfrac{\theta}{360}(\pi r)$           .... (1)

Area of sector:

$A=\dfrac{\theta}{360}(\pi r^2)$             ... (2)

Using (1) and (2) we get

$A=11r$

Substitute r=14 in the above equation.

$A=11(14)$

$A=154$

Therefore, the area of sector is 154 cm².

#Learn more

A sector of 56° cut out from a circle contains area 4.4 cm². Find the radius of the circle.

https://brainly.in/question/9455537