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GradeAreas of Sector of a circle

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Find the area of the sector of a circle of radius 4 cm and angle \[{30^ \circ }\]. Find the area of the corresponding major sector. \[(\pi = 3.14)\]

AB and CD are arcs of the two concentric circles of radii 21cm and 7cm and centre ‘O’ if \[\angle \text{AOB}={{30}^{\circ }}\]. Find the area of the shaded region.

A rectangular piece is $20m$ long and $15m$ wide. From its four corners, quadrants of radii $3.5m$ have been cut. Find the area of the remaining part.

In a circle with centre O and radius $5cm$, AB is a chord of length $5\sqrt 3 cm$. Find the area of sector AOB.

A). $\dfrac{{25\pi }}{2}c{m^2}$

B). $\dfrac{{23\pi }}{3}c{m^2}$

C). $\dfrac{{25\pi }}{7}c{m^2}$

D). None of these

A). $\dfrac{{25\pi }}{2}c{m^2}$

B). $\dfrac{{23\pi }}{3}c{m^2}$

C). $\dfrac{{25\pi }}{7}c{m^2}$

D). None of these

What is the area of the sector?

A. $ 170\,c{{m}^{2}} $

B. $ 100\,c{{m}^{2}} $

C. $ 110\,c{{m}^{2}} $

D. $ 130\,c{{m}^{2}} $

A. $ 170\,c{{m}^{2}} $

B. $ 100\,c{{m}^{2}} $

C. $ 110\,c{{m}^{2}} $

D. $ 130\,c{{m}^{2}} $

Find the area of the sector of a circle of radius 5 cm, if the corresponding arc length is 3.5 cm.

Write the formula to find the area of a sector and length of an arc for the following:

(a) Semicircle

(b) Quarter circle

(a) Semicircle

(b) Quarter circle

In figure, PQRS is a square lawn with side PQ = 42 metres. Two circular flowerbeds are there on the sides PS and QR with centre at O, the intersection of its diagonals. Find the total area of the two flower beds (shaded parts).

OPQ is the sector of a circle having a center at O and radius 15cm. If \[m\angle POQ={{30}^{\circ }}\], find the area enclosed by arc PQ and chord PQ.

How do you calculate the length of an arc and area of a sector?

Two overlapping circles with equal radius form a shaded region as shown in the figure. Express the area of the region and the complete perimeter (combined arc length) in terms of r and the distance between centre D? Let $r=4$ , $D=6$ and calculate?

The minute hand of a clock is 8 cm long. Find the area swept by the minute hand between 8.30 a.m, and 9.05 a.m.

A.\[177\dfrac{1}{3}c{{m}^{2}}\]

B.\[107\dfrac{1}{3}c{{m}^{2}}\]

C.\[217\dfrac{1}{3}c{{m}^{2}}\]

D. None of these

A.\[177\dfrac{1}{3}c{{m}^{2}}\]

B.\[107\dfrac{1}{3}c{{m}^{2}}\]

C.\[217\dfrac{1}{3}c{{m}^{2}}\]

D. None of these

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