if the perimeter of a sector of a circle of radius 5.2cm is 16. 4cm.then the area of the sector is?
Asked by shouvik dutta
| 30th Dec, 2013,
07:59: AM
Expert Answer:
Let POQ be the given sector
Given, radius (r) of circle = 5.2 cm
Given perimeter of sector POQ = 16.4 cm
So, OP + OQ + Arc PQ = 16.4 cm
5.2 + 5.2 + Arc PQ = 16.4 cm
Arc PQ = 6 cm
That is, l = Arc length PQ = 6 cm
Therefore,
Area of sector POQ = 1/2 × r × l
= 5.2 x 6 / 2 = 15.6 cm2
Let POQ be the given sector
Given, radius (r) of circle = 5.2 cm
Given perimeter of sector POQ = 16.4 cm
So, OP + OQ + Arc PQ = 16.4 cm
5.2 + 5.2 + Arc PQ = 16.4 cm
Arc PQ = 6 cm
That is, l = Arc length PQ = 6 cm
Therefore,
Area of sector POQ = 1/2 × r × l
= 5.2 x 6 / 2 = 15.6 cm2
Answered by
| 30th Dec, 2013,
09:42: AM
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