In a circle with radius 56 , cm,find the area | vedclass

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

Question

(A) Given radius $r = 56 \, cm$. Since the two radii are perpendicular,the central angle $	heta = 90^\circ$.Area of the minor sector = $\frac{	heta}

Vedclass · Accepted Answer

Minor sector: $2464 \, cm^2$,Major sector: $7392 \, cm^2$,Minor segment: $896 \, cm^2$

Vedclass · Answer

(A) Given radius $r = 56 \, cm$. Since the two radii are perpendicular,the central angle $	heta = 90^\circ$.Area of the minor sector = $\frac{	heta}{360^\circ} 	imes \pi r^2 = \frac{90}{360} 	imes \frac{22}{7} 	imes 56 	imes 56 = \frac{1}{4} 	imes 22 	imes 8 	imes 56 = 2464 \, cm^2$.Area of the major sector = Total area of circle - Area of minor sector = $\pi r^2 - 2464 = \frac{22}{7} 	imes 56 	imes 56 - 2464 = 9856 - 2464 = 7392 \, cm^2$.Area of the minor segment = Area of minor sector - Area of triangle = $2464 - \frac{1}{2} 	imes r^2 	imes \sin(90^\circ) = 2464 - \frac{1}{2} 	imes 56 	imes 56 	imes 1 = 2464 - 1568 = 896 \, cm^2$.

In a circle with radius $56 \, cm$,find the area of the minor sector,the major sector,and the minor segment corresponding to two radii perpendicular to each other.

Similar Questions

In the adjoining figure,$PS$ is the diameter of a circle and $PS = 12$. $PQ = QR = RS$. Semicircles are drawn with diameters $\overline{PQ}$ and $\overline{QS}$. Find the perimeter and the area of the shaded region. $(\pi = 3.14)$

The length of the minute hand of a clock is $14 \, cm$. Find the area of the region swept by it between $10.10 \, AM$ to $10.30 \, AM$.

In a circle with radius $6.3\, cm$,a minor arc subtends an angle of measure $40^{\circ}$ at the centre. The area of the minor sector corresponding to that arc is $\ldots \ldots cm^{2}$.

The ratio of radii of two circles is $2:3$ and the ratio of the angles at the centre of two minor sectors of those circles is $5:2$. Then,the ratio of the areas of those sectors is:

The radius of a wheel of a car is $21 \, cm$. If it makes $800$ rotations per minute,find the speed of the car in $km/h$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module