Math, asked by nandnilodwal729, 5 months ago

A door is fixed at the point o. ben opened it by on angle of 30°. the area swept by the door was 25/12π m sq. find the width of the door ( enter your answer is term of π)

Answers

Answered by amitnrw
0

Given : A door is fixed at the point o

Opened by on angle of 30°.

the area swept by the door was 25/12π m sq.

To Find : the width of the door

Solution :

Width of Door = Radius  = R  m

Area of Sector = ( Angle / 360°) * πR²

Angle = 30°.

Area of Sector = (30°  / 360°) * πR²

= (1/12)  πR²   m²

area swept by the door was 25/12π m²

(1/12)  πR² = 25/12π

=> R²   = 25/π ²

=> R = 5/π

width of the door  = 5/π  m

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