The area of a sector of a circle of radius 5 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given: Radius $R = 5 \, cm$ and arc length $S = 3.5 \, cm$.The formula for the angle $	heta$ (in radians) subtended by an arc at the center is $\

Vedclass · Accepted Answer

$8.75$

Vedclass · Answer

(D) Given: Radius $R = 5 \, cm$ and arc length $S = 3.5 \, cm$.The formula for the angle $	heta$ (in radians) subtended by an arc at the center is $	heta = \frac{S}{R}$.Substituting the values: $	heta = \frac{3.5}{5} = 0.7 \, 	ext{rad}$.The area of a sector is given by the formula $	ext{Area} = \frac{1}{2} R^2 	heta$.Substituting the values: $	ext{Area} = \frac{1}{2} 	imes (5)^2 	imes 0.7$.$	ext{Area} = \frac{1}{2} 	imes 25 	imes 0.7 = 12.5 	imes 0.7 = 8.75 \, cm^2$.

The area of a sector of a circle of radius $5 \, cm$,formed by an arc of length $3.5 \, cm$,is (in $cm^2$)

Similar Questions

Find the area of the shaded region if the radius of each of the circles is $1\, cm$.

The diameter of a circular wheel is $7\, m$. How many revolutions will it make in travelling $22\, km$?

$ABCD$ is a trapezium in which $AB \parallel CD$ and $AB = 2CD$. If its diagonals intersect each other at $O$,the ratio of the area of triangle $AOB$ and $COD$ is

The length of a rectangular plot is $20 \ m$ more than its breadth. If the cost of fencing the plot at $₹ 26.50/m$ is $₹ 5300$,what is the length of the plot in metres?

The side of a square exceeds the side of another square by $4\, cm$ and the sum of the areas of the two squares is $400\, cm^2$. The dimensions of the squares are?

Vedclass Test Series

Exam Paper Generator

Online Exam Module