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Chapter 2: Q. 10 (page 119)

A circle of radius ris in inscribed in a square. See the figure.

Part (a): Express the area A of the square as a function of the radius rof the circle.

Part (b): Express the perimeter p of the square as a function of the radius rof the circle.

Short Answer

Expert verified

Part (a): Area of the square as a function is Ax=4r2.

Part (a): Perimeter of the square as a function is px=8r.

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given question,

Side of squarea=2r.

We know the area of the square is A=a2.

Substitute the values,

Ax=2r2Ax=4r2

02

Part (b) Step 1. Given information.

Consider the given question,

Side of squarea=2r

We know the perimeter of the square is role="math" localid="1645809518903" p=4a.

Substitute the values,

px=42rpx=8r

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