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In Fig. 15.103, from a rectangular regio...

In Fig. 15.103, from a rectangular region `A B C D` with `A B=20\ c m` , a right triangle `A E D` with `A E=9\ c m` and `D E=12 c m` , is cut off. On the other end, taking `B C` as diameter, a semicircle is added on outside the region. Find the area of the shaded region. `(U s e\ \ pi=22//7)`

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In the given figure, from a rectangular region ABCD with AB=20cm a right triangle AED with AE=9cm and DE=12cm , is cut off. On the other end, taking BC as diameter, a semicircle is added on outside the region. The area of the shaded region. [Use pi=3.14 ]

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. 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. 15.69, 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)

In Fig. 15.75, O E=20\ c m . In sector O B F T , square O E F G is inscribed. Find the area of the shaded region. (FIGURE)

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. 15.63, 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. 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.

A paper is in the form of a rectangle A B C D in which A B=20\ c m and B C=14\ c mdot A semicircular portion with B C as diameter is cut off. Find the area of the remaining part.

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)

RD SHARMA-AREAS RELATED TO CIRCLES-All Questions
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  2. In Fig. 15.101, A B C D is a trapezium of area 24. 5\ c m^2 . In it...

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

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

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

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

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

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

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

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

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

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

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  20. A wire can be bent in the form of a circle of radius 56 cm. If it i...

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