Geometry: Topic 10 (Circles)

Front

What is the formula to convert degrees to radians?

Back

Radians = Degrees × (π/180)

Front

What is 150° in radians?

Back

5π/6

Front

What is the formula for the length of an arc in a circle?

Back

Length of arc = (θ/360) × 2πr, where θ is in degrees.

Front

Find the length of the arc for a circle with radius 7 yd and angle 90°.

Back

Length of arc = (90/360) × 2π(7) = 3.5π yd.

Front

Convert 100° to radians.

Back

5π/9

Front

What is the relationship between the angles formed by two intersecting chords in a circle?

Back

If AB and CD are two chords intersecting at point E, then ∠BEQ = ∠CEQ.

Front

What is the measure of a right angle in degrees?

Back

90 degrees.

Front

What is the measure of a full circle in radians?

Back

2π radians.

Front

What is the formula for the area of a sector of a circle?

Back

Area of sector = (θ/360) × πr², where θ is in degrees.

Front

If the radius of a circle is 5 cm, what is the circumference?

Back

Circumference = 2πr = 10π cm.