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8 votes
A

A circle has a center of (-6,0) and passes
through the point (-1,3). What is its radius?

2 Answers

8 votes

Answer: 10

Explanation:

Given that a circle has the center at

(6.0) and the circle passes through the point (2,−3).So the distance between these two points will give us the measure of the radius.So(x1,y1)=(6

So by using the distance formula the radius of the given circle is-r=√(x2−x1)2+(y2−y1)2r=√(2−6)2+(−3−0)2r=√16+9r=√25=5 unitsSo the diameter of the given circle is=2rd==2(5)d=10units

User Lucataglia
by
4.6k points
13 votes

Let's see

Find distance between these points and radius

  • √(x_1-x_2)²+(y_1-y_2)²
  • √(-6+1)²+(0-3)²
  • √(-5)²+(-3)²
  • √25+9
  • √34 units
User Varun Goyal
by
5.0k points