Circle Geometry Concepts and Problems

The video tutorial covers circle theorems, starting with a review of the Pythagorean theorem. It explains key circle vocabulary such as radius, diameter, chord, secant, and tangent. The tutorial includes examples of calculating circle measurements like radius, circumference, and area. It also explores tangent theorems and provides problem-solving examples to reinforce understanding.

What is the hypotenuse of a right triangle with legs measuring 8 and 15?

• 17

• 20

• 30

• 25

Which of the following is true about a chord in a circle?

• It must pass through the center.

• It is a line segment connecting two points on the circle.

• It extends infinitely in both directions.

• It is always equal to the radius.

How do you calculate the circumference of a circle?

• r²/2

• πd/2

• πr²

• 2πr

What is the radius of a circle if its circumference is 40?

• 6.37

• 7.07

• 8.06

• 9.00

A tangent to a circle is perpendicular to which part of the circle?

• Chord

• Diameter

• Radius

• Secant

If a tangent and a radius meet at a point on a circle, what is the angle between them?

• 120 degrees

• 90 degrees

• 60 degrees

• 45 degrees

What is the length of a tangent segment from a common external point to a circle?

• It is half the circumference.

• It is equal to another tangent segment from the same external point.

• It is equal to the diameter.

• It is equal to the radius.

In a circle, if two tangent segments are drawn from a common external point, what can be said about them?

• They form a right angle with the radius.

• They are perpendicular to each other.

• They are equal in length.

• They are parallel.

What is the measure of angle ABO if it is formed by a radius and a tangent?

• 120 degrees

• 90 degrees

• 60 degrees

• 45 degrees

If angle DOB is 120 degrees, what is the measure of angle EAB?

• 30 degrees

• 60 degrees

• 120 degrees

• 90 degrees