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Chapter 2: Q. 13 (page 120)

A wire of length xis bent into the shape of a circle.

Part (a): Express the circumference Cof the circle as a function of x.

Part (b): Express the areaAof the circle as a function ofx.

Short Answer

Expert verified

Part (a): Circumference of the circle as a function is Cx=x.

Part (b): Area of the circle as a function is Ax=x24蟺.

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given question,

Length of the wire xis equal to the circumference of the circle which is 2蟺谤. Then,

2蟺谤=xr=x2蟺

Also, circumference of the circlex=2蟺x2蟺

Therefore, circumference as a function ofxisCx=x.

02

Part (b) Step 1. Given information.

Consider the given question,
Ax=蟺x2蟺2Ax=x24蟺

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