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A wardrobe top is in the shape of a sector of a circle with radius 35 cm and angle 90 degrees. Calculate its perimeter.
Mathematics
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Step-by-step solution
2 stepsLet's calculate the perimeter of the wardrobe top.
The top of the wardrobe is a sector of a circle.
Given:
Radius cm
Angle
We will use for calculation.
Calculate the length of the arc.
The formula for the arc length of a sector is:
Substitute the given values:
Calculate the perimeter of the sector.
The perimeter of a sector is the sum of the arc length and two radii:
Substitute the calculated arc length and the given radius:
The perimeter of the top of the wardrobe is .
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