Question

the length of chord of a circle is 80cm if it's radius is 41cm find the distance of the chord from the center​

Answer 1

Answer:

the distance of chord from centre is root 3281 or 58.28cm

Answer 2

Answer:

• 9 cm

Step-by-step explanation:

Given

• Length of chord of a circle = 80 cm
• Radius of the circle = 41 cm

To find

• Distance of the chord from the center

Solution

Consider a right angled triangle inserted in a circle.

Base = Half of chord :

• 80/2
• 40 units

Hypotenuse :

• 41 units

Height :

• x units

By Pythagoras theorem :

• (Height)² + (Base)² = (Hypotenuse)²
• (x)² + (40)² = (41)²
• x² + 1600 = 1681
• x² = 81
• x = √81
• x = 9

Hence, the distance of the chord from the center is 9 cm.