Question

The center of circle is (3, 2) and any point on the circle is (–5, 6). Then answer the following.

1. Find the radius of circle.

2. Find the area of circle​

Answer 1

Answer:

1. radius = 4√5

2. area = 251.4

Step-by-step explanation:

1. Given, center of circle = (3, 2)

Any point on circle = (-5, 6)

By using the distance formula,

i.e. √(x2-x1)²-(y2-y1)²

= √(-5-3)²+(6-2)²

= √(-8)²+(4)²

=√64+16

=√80

=4√5

∴ Radius = 4√5

2. Area = πr²

= 22/7 x (4√5)²

= 22/7 x 80

= 22*80/7

= 1760/7

=251.4 square units

∴ Area = 251.4 square units.