The perimeter of a square circumscribing a circle of radius a cm is equal to _________

Foundation

Mathematics Foundation

Surface Area and Volume

Area Related to Circle

Mensuration

Question

The perimeter of a square circumscribing a circle of radius a cm is equal to __________ cm.

$\frac{a}{2}$

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Given, radius of circle, r = a cm

$∴$ Diameter of circle, d $\times$ Radius = 2a cm

Side of a square = Diamter of circle = 2a

$∴$ Perimeter of a square = 4 $\times$ (side) = 4 $\times$ 2a

= 8a cm