Question

r
17. Circle
139. A chord of length 16 cm is drawn in a circle
of diameter 20 cm. Calculate its distance
from the centre of the circle.​

Answer 1

$\bf\underline{\underline{\green{SOLUTION:-}}}$

Question

• A chord of length 16 cm is drawn in a circle of diameter 20 cm. Calculate its distance from the centre of the circle?

Answer

• 6cm

Given

• Chord of length = 16cm
• Diameter = 20cm

To Calculate

• Distance from the centre of the Circle

Step by step explanation

Chord Length = 16cm ( Given)

Diameter = 20cm

Radius of the Circle ↴

Radius = d/2

➫ 20/2

➫ 10cm

Radius = 10cm

Distance of the Chord from the centre of the circle

(AO)²= (OC)²+(AC)²

➫ 10²= (OC)²+ 8²

➫ 100 = (OC)²+ 64

➫ 100 -64 = (OC)²

➫ 36 = (OC) ²

➫ OC = 6cm

$\bf\underline{\underline{\green{Hence:-}}}$

• Distance of Chord from Centre of circle is 6cm

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