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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Circle O has its center at the origin and contains the point a ,   b in Quadrant II. Find an expression for the area of ⊙ O in terms of a and b .

To determine

To find:

The expression for the area of the circle O in terms of a and b.

Explanation

Center of the circle O is 0, 0.

The circle passes through a point a, b in Quadrant II.

A circle is drawn in the coordinate system with the given data.

Let r be the radius of the circle.

Radius is the distance between the origin and the point a, b.

x1,y1=0, 0

x2,y2=a, b

Formula for distance between two points

d=x2-x12+y2-y12

Substituting the x and y co-ordinates

d=a-02+b-0

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Chapter 10 Solutions

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