3 years ago

AB is tangent to C. I need to find the value of r.

1 answer:

5 0

Tangent always meets radius at 90° angle.

Angle ABC = 90° so Pythagoras' theorem applies.

r² + 4² = (r+2)²
r² + 16 = r² + 4r + 4
12 = 4r
r = 3

You might be interested in

Can someone explain to me how this has multiple answers? I really don't understand! When I did it I only got the first answer. P

Vesna [10]

$in \: firt \: quadrant \\ sin \frac{\pi}{4} = \frac{ \sqrt{2} }{2} \\ in \: second \: quadrant \\ sin \frac{3\pi}{4} = \frac{ \sqrt{2} }{2} \\ in \: third \: quadrant \: \\ sin \frac{5\pi}{4} = \frac{ - \sqrt{2} }{2} \\ in \: forth \: quadrant \\ sin \frac{7\pi}{4} = - \frac { \sqrt{ 2} }{2} \\ in \: this \: way \: it \: has \: multiple \: soution$