Question

Question 3. If radii of two concentric circles are 4cm and 5cm, then the length of each chord of one circle which is tangent to the other is *
1 point
3 cm
6 cm
9 cm
1 cm​

Answer 1

GivEn:

• Radius of smaller circle = 4 cm
• Radius of bigger circle = 5 cm

To find:

• Length of each chord of one circle which is tangent to the other circle?

Solution:

It forms a right angle triangle,

★ Using Pythagoras Theorem,

H² = B² + P²

➯ (5)² = B² + (4)²

➯ 25 = B² + 16

➯ B² = 25 - 16

➯ B² = 9

➯ √B² = √9

➯ B = 3 cm

Therefore, Length of chord is,

➯ 2 × Base = 2 × 3

➯ 6 cm

∴ Hence, Length of chord is 6 cm.