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The radius of a circle is 17.5 cm. Find ...

The radius of a circle is 17.5 cm. Find the area of the sector enclosed by two radii and an arc 44 cm in length.

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Verified by Experts

The correct Answer is:
`385cm^(2)`
`(2pir theta)/360=44implies2pixx35/2xxtheta/360=44impliestheta=(44xx72)/(7pi)`
Area `=(pir^(2)theta)/360=(pixx35/1xx35/2xx(44xx72)/(7pi)xx1/360)cm^(2)=385cm^(2)`
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RS AGGARWAL-AREA OF CIRCLE, SECTOR AND SEGMENT -Exercise 16B
  1. The area of the sector of a circle of radius 10.5cm is 69.3cm^(2). Fin...

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  2. The perimeter of a certain sector of a circle of radius 6.5 cm is 31cm...

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  3. The radius of a circle is 17.5 cm. Find the area of the sector enclose...

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  4. Two circlular pieces of equal radii and maximum area, touching each ot...

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  5. In the given figure ABCD is a square of side 4cm. A quadrant of a circ...

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  6. From a rectangular sheet of paper ABCD with AB=40CM and AD=28cm, a sem...

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  7. In the given figure, OABC is a square of side 7cm. If COPB is a quadra...

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  8. In the given figure, three sectors of a circle of radius 7 cm, making ...

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  9. In the given figure PQ and AB are respectively the arcs of two concen...

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  10. In the given figure, find the area of shaded region if ABCD is a squar...

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  11. In the given figure, the shape of the top of a table is that of a sect...

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  12. In the given figure, ABCD is a square of side 7cm, DPBA and DQBC are q...

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  13. In the given figure OABC is a quadrant of a circle with centre O and r...

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  14. Find the perimeter of the shaded region in the figure,if ABCD is a squ...

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  15. In a circle of radius 7cm, a square ABCD is inscribed. Find the area o...

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  16. In the given figure, APB and CQD are semicircles of diameter 7 cm each...

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  17. In the given figure, PSR, RTQ and PAQ are three semicircles of diamete...

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  18. In the given figure, a square OABC has been inscribed in the quadrant...

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  19. In the given figure, APB and AQO are semicircles and AO=OB. If the pe...

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  20. Find the area of a quadrant of a circle whose circumference is 44 cm.

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