Question

iv) Length of a chord of a circle is 48 cm. If distance of the chord from the centre is 7 cm then find radius of the circle is...

a) 55 cm b) 5 cm c) 25 cm d) 2304 cm ​

Answer 1

Answer:

radius of the circle is 25 cm

Step-by-step explanation:

given that ;

length of chord $l$ = 48 cm

distance of the chord from center of circle is d = 7 cm

⇒ distance of the chord from center of circle makes 90° exactly with chord.

so length of chord is divided into to equal parts to solve the problem using pythagoras theorem.

new length = 48/2 =24 cm

from pythagoras theorem , $(radius)^2 = (new length)^2 + ( distance )^2$

$(radius)^2 = (24)^2 + (7)^2\\(radius)^2 = (576 + 49 ) cm^2$

$(radius)^2 = 625 cm^2\\radius = \sqrt{625} cm\\radius = 25 cm$

radius of the circle is 25 cm