Question

If the length of arc of sector is 7 1/3cmand its radius is 7cm find the area of sector ​

Answer 1

Answer:

area of sector is 77/3 cm^2.

Step-by-step explanation:

formula's used: i) l=r*Ф...where l is lenght of arc and r=radius..,and Ф is angle made by arc(in radians)

                         ii)area of sector=1/2 r^2Ф

by using i) formula...,Ф=22/21....(i/r)

and a=1/2*49*(22/21) cm^2

a=77/3 cm^3

Answer 2

Concept:

A sector is defined as a portion of a circle made up of the circle's arc and two radii.

Given:

The length of the arc of a sector  $=7\frac{1}{3} cm.$

The radius of the circle$=7cm.$

Find:

Find the area of the sector​.

Solution:

Let l be the length of the arc. An arc of length r units will subtend 1 radian in the centre of a circle with a radius of r units. As a result, an arc of length l will subtend l/r, which is the angle at the centre.

∴ Area of the sector$=\frac{lr}{2}$

$l=7\frac{1}{3}=\frac{22}{3}$

$r=7$

Put the values of l and r in the formula.

$Area=\frac{\frac{22}{3}*7 }{2}$

$Area= \frac{154}{3} *\frac{1}{2}$

$Area= \frac{77}{3}=25\frac{2}{3} cm^2$.

Hence the area of the sector​ is $\frac{77}{3}cm^2$ or $25\frac{2}{3} cm^2.$