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प्रश्न
The perimeter of a sector of radius 5.2 cm is 16.4 cm, the area of the sector is ____________.
पर्याय
31.2 cm2
15 cm2
15.6 cm2
16.6 cm2
MCQ
रिकाम्या जागा भरा
उत्तर
The perimeter of a sector of radius 5.2 cm is 16.4 cm, the area of the sector is 15.6 cm2.
Explanation:
The perimeter of a sector of a circle
`= theta/360^circ xx 2 pi "r" + 2 "r"`
`=> (theta/360^circ xx 2 pi xx 5.2) + (2 xx 5.2) = 16.4`
`=> theta/360^circ pi = (16.4 - 10.4)/10.4 = 6/10.4`
Area of sector of circle `theta/360 xx pi "r"^2`
`= 6/10.4 xx (5.2)^2 = 15.6 "cm"^2`
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