In a circle,the area of a sector formed by tw | vedclass

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

Question

(D) The area of a sector of a circle is given by the formula: $	ext{Area} = \frac{	heta}{360^\circ} 	imes \pi r^2$. Since the two radii are perpend

Vedclass · Accepted Answer

$7$

Vedclass · Answer

(D) The area of a sector of a circle is given by the formula: $	ext{Area} = \frac{	heta}{360^\circ} 	imes \pi r^2$. Since the two radii are perpendicular to each other,the central angle $	heta = 90^\circ$. Given,$	ext{Area} = 38.5 \, cm^2$ and $\pi = \frac{22}{7}$. Substituting the values: $38.5 = \frac{90^\circ}{360^\circ} 	imes \frac{22}{7} 	imes r^2$. $38.5 = \frac{1}{4} 	imes \frac{22}{7} 	imes r^2$. $38.5 = \frac{11}{14} 	imes r^2$. $r^2 = \frac{38.5 	imes 14}{11}$. $r^2 = 3.5 	imes 14 = 49$. $r = \sqrt{49} = 7 \, cm$.

In a circle,the area of a sector formed by two radii perpendicular to each other is $38.5 \, cm^2$. Find the radius of the circle (in $cm$).

Similar Questions

The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters $36 \, cm$ and $20 \, cm$ is (in $cm$)

The closed figure formed by an arc of a circle and the radii through its end points is called .........

As shown in the diagram,the side length of square $ABCD$ is $21 \ cm$. $\widehat{APC}$ is an arc of $\odot(B, BA)$ and $\widehat{AQC}$ is an arc of $\odot(D, DA)$. Find the area of the shaded portion. (in $cm^2$)

In a circle with radius $6 \, cm$,a minor arc subtends an angle of measure $60^{\circ}$ at the centre. Find the area of the minor sector and the major sector corresponding to that arc.

The maximum area of $\Delta ABC$ inscribed in a semicircle with radius $10 \, cm$ is ....... $cm^2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module