Question

Suppose is O the centre of a circle of radius 5 cm. The chord As subends an angle of 60^° at the centre. Area of the shaded portieren is equal to

a)50 cm^2
b)62.78 cm^2
c)49.88 cm^2
d)67.75 cm^2

please answer the question and explain the answer​

Answer 1

Answer:

∠AOB =60

OA=OB

Hence, ∠OAB = ∠OBA =60

OAB is an equilateral triangle, so OA=OB = 5

Draw a perpendicular on CD from O.

Triangle OEC is (60-90-30) triangle; Hence, CE = 5*(√3/2)

CD = 2*CE = 2* 5*(√3/2) = 5√3

Step-by-step explanation:

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