Question

7. The points ​(−2​,−4​) and ​(5​,6​) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.

Answer 1

6.10

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 =√((5-(-2))^2 + (6-(-4))^2)`

`\rightarrow \sf d =√((7)^2 + (10)^2)`

`\rightarrow \sf d =√(149)`

This is the length of diameter.

Then radius:

· diameter/2

`\sf \cdot (√(149 ) )/(2)`

`\sf \cdot 6.103277808`

`\sf \cdot 6.10 \ \ (rounded \ to \ nearest \ hundreth)`