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Fig. 15.17, shows a sector of a circle, ...

Fig. 15.17, shows a sector of a circle, centre `O` , containing an angle `thetao` , prove that: (FIGURE) (i) Perimeter of the shaded region is `r\ (tantheta+sectheta+(pitheta)/(180)-1)` (ii) Area of the shaded region is `(r^2)/2\ (tantheta-(pitheta)/(180))`

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RD SHARMA ENGLISH-AREAS RELATED TO CIRCLES-All Questions
  1. In a circle of radius 6 cm, a chord of length 10 cm makes an angle ...

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  2. In a circle of radius 6 cm, a chord of length 10 cm makes an angle ...

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  3. Fig. 15.17, shows a sector of a circle, centre O , containing an an...

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  4. Find the area of the segment of a circle, given that the angle of t...

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  5. A chord A B of a circle of radius 15 cm makes an angle of 60o at ...

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  6. In a circle of radius 21 cm, an arc subtends an angle of 60o at th...

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  7. A B is a chord of a circle with centre O and radius 4 cm. A B is...

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  8. A chord P Q of length 12 cm subtends a angle of 120^o at the centr...

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  9. A chord of a circle of radius 14 cm makes a right angle at the cent...

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  10. A chord A B of a circle, of radius 14 cm makes an angle of 60^@ at ...

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  11. Find the area of the shaded region in Figure, where radii of the two c...

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  12. A B and C D are respectively arcs of two concentric circles of radii...

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  13. In Fig. 15.35, A O B C A represents a quadrant of a circle of radius ...

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  14. A square park has each side of 100 m. At each corner of the park, th...

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  15. Four equal circles are described about the four corners of a square...

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  16. Find the areas of the shaded region in the Fig. 15.39.  (FIGURE)

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  17. A B C D is a flower bed. If O A=21\ m and O C=14\ m , find the area...

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  18. A B C P is a quadrant of a circle of radius 14 cm. With A C as d...

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  19. The area of an equilateral triangle is 1732. 05\ c m^2 . About each an...

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