Question

The chord of a circle is at a distance of 3 cm from the centre. If the length of the chord is 8 cm, find the radius of the circle.

Answer 1

The chord of a circle is at a distance of $3\mathrm{cm}$ from the centre. If the length of the chord is $8\mathrm{cm}$ , find the radius of the circle.

Let chord AB, O - center of the circle. OH distance from center to AB, then $\mathrm{AH = HB = 4}$ $\mathrm{OH} = 3$ then radius which equal to OA from the Pythagorean theorem equal sqrt( $3^{\wedge}2 + 4^{\wedge}2) = 5$