Question

Two chords AB and AC of a circle are mutually perpendicular to each other. If AB=4cm and AC=3 cm, find the length of the radius of the circle ​

Answer 1

Answer:

2.5 cm

Step-by-step explanation:

AB=4 cm and AC=3 cm are two perpendicular cords of a circle. Angle A=90°,then BC wil be the diameter of circle,BC=2r.

In right angled triangle BAC

BC^2=AB^2+AC^2

(2r)^2=(4)^2+(3)^3

4r^2=16+9=25

r^2=25/4

r = 5/2 cm. or 2.5 cm