Question

If the length of a chord of a circle at a distance of 5cm from the centre of the

circle is 24cm find the radius of the circle.
step by step​

Answer 1

Answer:

13 cm.

Step-by-step explanation:

Given: Length of chord- 24 cm

Distance of chord from centre- 5 cm

radius- ?

OB is perpendicular to AC ... (I)

Thus, ∆OBC is a right-angled triangle... from (I)

thus, OB^2 + BC^2 = OC^2 ... (Pythagoras theorem)

BC=1/2 (24) ... from (I)

thus, BC= 12 cm

thus, 5^2+12^2= OC^2

= 25+144 = 169

thus, OC^2=169

thus, OC= 13...( Rooting both the sides)

thus, radius of the circle is 13cm.

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