Question

The end points of the diameter AB of a circle are A(4, 0) and B(0, –4). The length of the diameter is ______.

विकल्प

• 3 units

• 8 units

• `sqrt(8)` units

• `sqrt(32)` units

Answer 1

The end points of the diameter AB of a circle are A(4, 0) and B(0, –4). The length of the diameter is `underlinebb(sqrt(32)  units)`.

Explanation:

Use the distance formula (Pythagorean theorem).

Distance AB = `sqrt((4 - 0)^2 + (0 - (-4))^2)` 

= `sqrt(4^2 + 4^2)` 

= `sqrt(16 + 16)`

= `sqrt(32)`