If the length of a chard, or a circle is 16 cm, andlis at a distance o

1.	If the length of a chard, or a circle is 16 cm, andlis at a distance of 15 cm, from the centreof the circle then the radius of a Circle?
Answer» $\sf{\huge{\underline{\green{Given :-}}}}$ The length of a chord of a circle is 16 cm. It LIES at a distance of 15 cm, from the centre of the circle. $\sf{\huge{\underline{\green{To\:Find :-}}}}$ The radius of a circle . $\sf{\huge{\underline{\green{Answer :-}}}}$ According to the question, A chord is of length 16 cm is DRAWN on a circle. It lies at a distance of 15 cm, from the centre of the circle. It makes a fig. as PER i drawn in attachment. Join O to A, such that OA is radius of the circle. It forms a perpendicular OC on Chord AB. AB = AC + BC AC = BC ➝ AB = AC + AC ➝ AB = 2AC ➝ 16 = 2AC ➝ AC = 16/2 ➝ AC = 8 cm AC = 8 cm OC = 15 cm OA = ?? In right Δ ABC, OA² = OC² + AC² ➝ OA² = 15² + 8² ➝ OA² = 15² + 64 ➝ OA² = 225 + 64 ➝ OA² = 289 ➝ OA = √289 ➝ OA = 17 cm The radius of a circle is 17 cm.

If the length of a chard, or a circle is 16 cm, andlis at a distance of 15 cm, from the centreof the circle then the radius of a Circle?

Answer»

$\sf{\huge{\underline{\green{Given :-}}}}$

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

$\sf{\huge{\underline{\green{Answer :-}}}}$

According to the question,

A chord is of length 16 cm is DRAWN on a circle.

It lies at a distance of 15 cm, from the centre of the circle.

It makes a fig. as PER i drawn in attachment.

Join O to A, such that OA is radius of the circle.

It forms a perpendicular OC on Chord AB.

AB = AC + BC

AC = BC

➝ AB = AC + AC

➝ AB = 2AC

➝ 16 = 2AC

➝ AC = 16/2

➝ AC = 8 cm

OA² = OC² + AC²

➝ OA² = 15² + 8²

➝ OA² = 15² + 64

➝ OA² = 225 + 64

➝ OA² = 289

➝ OA = √289

➝ OA = 17 cm