Question

A chord of a circle is 20cm in length and its distance for m the centre is 24cm find the radius of the circle

Answer 1

Answer:

${10}^{2} + {24 }^{2}$

100+576=r2

Step-by-step explanation:

676=r2

r=26cm

Answer 2

The radius of the circle is 26 cm.

Step-by-step explanation:

Let O be the center and AB is the chord of the circle.

Hence,

AB = 20 cm

OC = 24 cm

Radius of a circle that is perpendicular to a chord divides the chord into two equal parts and vice versa.

Hence, we have

AC = 10 cm

Apply Pythagorean theorem is triangle OCA

$OA=\sqrt{OC^2+AC^2}\\\\r=\sqrt{24^2+10^2}\\\\r=\sqrt{676}\\\\r=26\text{ cm}$

Therefore, the radius of the circle is 26 cm.

#Learn More:

In a circle of diameter 40 cm , the length of a chord is 20cm. find the length of the minor arc of the chord ?

https://brainly.in/question/6897002