If the radius of a circle is 30 cm, find the length of a chord which is 10 cm from the center?
If the radius of a circle is 30 cm, find the length of a chord which is 10 cm from the center?
Explanation
Given radius (r) = 30 cm and distance from center to chord (d) = 10 cm
Let's find the length of the chord using the formula:
Length = 2√(r² - d²)
= 2√(30² - 10²)
= 2√(900 - 100)
= 2√800
= 2√(400 × 2)
= 2 × 20√2
= 40√2 cm