Question

In circle o,find the value of x, rounded to the nearest tenth.

Answer 1

x = 6

Explanation:

• The line marked 16 is a chord.
• The line marked 20 is a diameter.
• 1/2 the diameter is a radius.
• The radius = 1/2 20 = 10
• The value x meets 16 at it's midpoint
• It is given to be 90 degrees.
• The part of the radius meets the chord at its midpoint.
• The meeting point to the circumference is 8 units.
• The Pythagorean Theorem applies.

• 10^2 = 8^2 + x^2
• 100 = 64 + x^2
• 100 - 64 = x^2
• 36 = x^2
• x = 6