Question

Distance of chord AB from the center of a circle is 8cm. Length of the chord AB is 12
cm. Find the radius of the circle.

Answer 1

Answer -Radius is 10 cm

Hope it will help you ♥️

Answer 2

Answer:

The diameter of the circle is 20 cm.

Step-by-step explanation:

Given that:

• In a circle with centre O,
• OA is radius and AB is its chord,
• seg OP ⊥ chord AB, A-P-B
• AB = 12 cm, OP = 8 cm

To find:

• Diameter of the circle.

Solution:

i). AP = AB [Perpendicular drawn from the centre of a circle to the chord bisects the chord.]

∴ AP = (1/2) x 12 = 6 cm ….(i)

ii). In ∆OPA, ∠OPA = 90°

∴ OA2 = OP2 + AP2 [Pythagoras theorem]

= 82 + 62 [From (i)]

= 64 + 36

∴ OA2 = 100

∴ OA = √100 [Taking square root on both sides]

= 10 cm

iii). Radius (r) = 10 cm

∴ Diameter = 2r = 2 x 10 = 20 cm

∴ The diameter of the circle is 20 cm.

${}^{i \: hope \: its \: help \: you.}$