Circle Geometry Concepts

This video tutorial covers key concepts in geometry, focusing on inscribed and central angles, congruent angles, tangent properties, cyclic quadrilaterals, and constructing circumscribed circles. It also explores circle similarity, scale factors, and calculations for sector area and arc length.

What is the measure of the central angle if the inscribed angle is 30°?

• 120°

• 30°

• 90°

• 60°

If an inscribed angle is 38°, what is the measure of the arc it intercepts?

• 152°

• 38°

• 76°

• 114°

What is the measure of an angle formed by a tangent and a radius at the point of tangency?

• 120°

• 90°

• 60°

• 45°

Which property is true for a cyclic quadrilateral?

• All angles are right angles

• Opposite angles add up to 180°

• Diagonals are equal

• All sides are equal

What is the first step in constructing a circumscribed circle around a triangle?

• Draw the triangle

• Find the midpoint of one side

• Draw a perpendicular bisector

• Measure the angles

How do you determine if two circles are similar?

• By comparing their areas

• By comparing their circumferences

• By comparing their diameters

• By comparing their radii

What is the formula for the area of a sector in degrees?

• (θ/270) * π * r²

• (θ/90) * π * r²

• (θ/180) * π * r²

• (θ/360) * π * r²