Question

The points ​(−8​,−2​) and ​(7​,4​) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.

Answer 1

8.08

Use the distance formula:

`\sf d = √((x_2 - x_1)^2 + (y_2-y_1)^2)`

where (x1, y1), (x2, y1) are points

`\rightarrow \sf d =√((7-(-8))^2 + (4-(-2))^2)`

`\rightarrow \sf d =√((15)^2 + (6)^2)`

`\rightarrow \sf d =3√(29)`

This is the length of diameter.

Then radius:

· diameter/2

`\sf \cdot (3√(29) )/(2)`

`\sf \cdot 8.0777`

`\sf \cdot 8.08 \ \ (rounded \ to \ nearest \ hundreth)`