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In Fig. 15.101, A B C D is a trapeziu...

In Fig. 15.101, `A B C D` is a trapezium of area `24. 5\ c m^2` . In it, `A D B C` , `/_D A B=90o` , `A D=10\ c m` and `B C=4\ c m` . If `A B E` is a quadrant of a circle, find the area of the shaded region. `(T a k e\ pi=22//7)` . (FIGURE)

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In Fig. 15.72 (a) , O A B C is a square of side 7 cm. If O A P C is a quadrant of a circle with centre O , then find the area of the shaded region. (U s e\ \ pi=22//7) (FIGURE)

In Fig. 15.99, a square O A B C is inscribed in a quadrant O P B Q of a circle. If O A=21\ c m , find the area of the shaded region. (FIGURE)

In Fig. 15.63, A B C D is a trapezium with A B D C and /_B C D=60o . If B F E C is a sector of a circle with centre C and A B=B C=7\ c m and D E=4\ c m , then find the area of the shaded region (U s e\ \ pi=(22)/7\ a n d\ sqrt(3)=1. 732) .

In Fig.40, A B C D is a parallelogram of area 144 c m^2, the value of x is 8 (b) 6 (c) 9 (d) 10

In Fig. 15.98, A B C is a right angled triangle in which /_A=90o , A B=21\ c m and A C=28\ c m . Semi-circles are described on A B ,\ B C and A C as diameters. Find the area of the shaded region. (FIGURE)

In Fig. 15.93, A B C D is a rectangle with A B=14\ c m and B C=7\ c m . Taking D C ,\ B C and A D as diameters, three semi-circles are drawn as shown in the figure. Find the area of the shaded region. (FIGURE)

In Fig. 32, A B C D is a rectangle of length A B=40\ c m and breadth B C=25\ c mdot If P , Q , R , S be the mid-points of the sides A B ,\ B C ,\ C D\ and \ D A respectively, find the area of the shaded region.

In Fig. 15.82, A B C D is a rectangle, having A B=20\ c m and B C=14\ c m . Two sectors of 180o have been cut off. Calculate: (i) the area of the shaded region. (FIGURE) (ii) the length of the boundary of the shaded region.

In Fig. 15.92, two circles with centres A and B touch each other at the point C . If A C=8\ c m and A B=3\ c m , find the area of the shaded region. (FIGURE)

In Fig. 15.69, A B and C D are two diameters of a circle perpendicular to each other and O D is the diameter of the smaller circle. If O A=7\ c m , find the area of the shaded region. (FIGURE)

RD SHARMA-AREAS RELATED TO CIRCLES-All Questions
  1. Two circular pieces of equal radii and maximum area, touching each ...

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  2. In the given figure, three semicircles are drawn of diameter 10 cm, 7 ...

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  3. In Fig. 15.101, A B C D is a trapezium of area 24. 5\ c m^2 . In it...

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  4. In Fig. 15.103, from a rectangular region A B C D with A B=20\ c m , a...

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  5. What is the ratio of the areas of a circle and an equilateral trian...

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  6. The circumference of two circles are in the ratio 2\ :3 . Find the ...

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  7. Write the area of the sector of a circle whose radius is r and l...

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  8. What is the length (in terms of pi ) of the arc that subtends an angle...

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  9. What is the angle subtended at the centre of a circle of radius 6 c...

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  10. What is the area of a sector of a circle of radius 5 cm formed by a...

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  11. In a circle of radius 10 cm, an arc subtends an angle of 108o at ...

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  12. If a square is inscribed in a circle, find the ratio of the areas of ...

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  13. Write the formula for the area of a sector of angle theta (in de...

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  14. Write the formula for the area of a segment in a circle a circle of...

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  15. If the adjoining figure is a sector of a circle of radius 10.5 cm, ...

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  16. If the diameter of a semi-circular protractor is 14 cm, then find i...

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  17. An arc subtends an angle of 90o at the centre of the circle of radi...

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  18. What is the area of the largest triangle that can be inscribed in a se...

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  19. If the circumference and the area of a circle are numerically equal...

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  20. If the difference between the circumference and radius of a circle ...

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