Circle Geometry and Theorems

The video tutorial explains how to find the lengths of segments OA, CD, and OF in a circle with center O. It uses the Pythagorean theorem to calculate these lengths, starting with OA as the hypotenuse of a right triangle. Once OA is determined, it is used to find other radii of the circle. The tutorial then applies the Pythagorean theorem to solve for the lengths of OF and CD, which are sides of right triangles. The process involves basic arithmetic and prime factorization to find exact segment lengths.

What is the center of the circle in the problem?

• A

• B

• O

• C

Which segment is the hypotenuse of a right triangle?

• OF

• CD

• OG

• OA

What theorem is used to calculate the length of OA?

• Pythagorean Theorem

• Fermat's Last Theorem

• Thales' Theorem

• Euclid's Theorem

What is the length of OA after calculation?

• 25

• 24

• 22

• 20

What is the radius of the circle?

• 30

• 20

• 22

• 25

What is the length of segment OF?

• 20

• 22

• 26

• 24

What is the value of a squared in the calculation of OF?

• 625

• 576

• 400

• 484

What is the length of segment CD?

• 18

• 20

• 24

• 22

What is the value of b squared in the calculation of CD?

• 400

• 484

• 625

• 576

Which segment is not a radius of the circle?

• CD

• OA

• OG

• OC