What is the length of a chord that is 6 cm from the center of a circle with a ra

₹0.0

Question: What is the length of a chord that is 6 cm from the center of a circle with a radius of 10 cm? (2019)

Options:

Correct Answer: 8 cm

Exam Year: 2019

Solution:

Using Pythagoras: chord length = 2√(r² - d²) = 2√(10² - 6²) = 2√(100 - 36) = 2√64 = 16 cm.

What is the length of a chord that is 6 cm from the center of a circle with a radius of 10 cm? (2019)

What is the length of a chord that is 6 cm from the center of a circle with a radius of 10 cm? (2019)

Step 1: Identify the radius of the circle, which is given as 10 cm.
Step 2: Identify the distance from the center of the circle to the chord, which is given as 6 cm.
Step 3: Use the formula for the length of the chord: chord length = 2√(r² - d²).
Step 4: Substitute the values into the formula: chord length = 2√(10² - 6²).
Step 5: Calculate 10², which is 100.
Step 6: Calculate 6², which is 36.
Step 7: Subtract 36 from 100: 100 - 36 = 64.
Step 8: Take the square root of 64, which is 8.
Step 9: Multiply by 2: 2 * 8 = 16 cm.
Step 10: Conclude that the length of the chord is 16 cm.

No concepts available.