Circles and Conic Sections

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

• 3.3 ft²

• 4.5 ft²

• 6.3 ft²

• 7.1 ft²

How is the purple region found?

• 49 π (100/360) - (1/2 ∙ 7 ∙ sin100 ∙ 7)

• 49 π - (7 ∙ sin100 ∙ 7)

• 49 π (100/360) - (7 ∙ sin100 ∙ 7)

• 49 π (260/360) - (1/2 ∙ 7 ∙ sin100 ∙ 7)

Find the area of the sector, rounding your answer to 1d.p.

• 748.3cm²

• 769.6cm²

• 769.7cm²

• 759.0cm²

Find the area of the sector, rounding your answer to 1d.p.

• 56.5cm²

• 56.6cm²

• 226.1cm²

• 226.2cm²

is the formula for?

• arc length

• area of a sector

• area of a segment

• arc measure

Answer explanation

Find the area of the sector. Round your answer to the nearest tenth.

What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 60°?

A sector of a circle has a radius of 7 cm and a central angle of 60°. What is its area?

• 14π cm²

• 35π cm²

• 21π cm²

• 28π cm²

What is this an example of?

• radius

• diameter

• secant

• tangent

a straight line passing from side to side through the center of a body or figure, especially a circle or sphere

• Diameter

• Chord

• Secant

• Tangent