Lesson 3.07-3.11 MTH208B Geometry

What is the angle between a tangent and a radius at the point of contact?

• 0°

• 90°

• 180°

If a tangent to a circle forms a 45° angle with a chord, what is the angle between the chord and the radius drawn to the point of contact?

• 45°

• 90°

• 135°

What is the measure of an arc subtended by a chord of a circle at the center if the chord is a diameter?

• 60°

• 90°

• 180°

How do you find the length of a tangent to a circle from an external point?

• Use the Pythagorean Theorem

• Use the distance formula

• Use the tangent-secant theorem

A chord of a circle is 10 units long, and the radius of the circle is 5 units. What is the distance from the center of the circle to the chord?

• 8 units

• 6 units

• 0 units

What is the relationship between the angle subtended by an arc at the center and at any point on the remaining part of the circle?

• The central angle is half the angle at the circumference

• The central angle is twice the angle at the circumference

• They are equal

What is the arc length for a circle with radius 5 cm and a central angle of 60°?

• 5π cm

• 5π/3 cm

• 5π/6 cm

If two tangents are drawn from an external point to a circle, what can be said about their lengths?

• They are equal

• One is longer

• One is shorter

The measure of an arc is 150°. What is the measure of the angle subtended by this arc at the center of the circle?

• 150°

• 75°

• 300°

What is the correct angle from the options: 45°, 90°, 180°?

• 45°

• 90°

• 180°