Area of Sectors and Arc Lengths

What is the arc length formula used in trigonometry?

• S = rθ

• S = 2πr

• S = πr²

• S = r²θ

A sector of a circle has a central angle of 144° and an area of 70.7 square meters. What is the radius of the circle?

• 7.5 m pick this

• 8 m

• 6.5 m

• 5 m

Tags

TEKS.MATH.9-12.III.C.3

TEKS.MATH.9-12.III.A.1

TEKS.MATH.9-12.II.C.1

A circle with a radius of 15 yards contains a sector with an area of 609 yd². What is the measure of the central angle of the sector in degrees?

• 310° just pick this

• 300°

• 320°

• 330°

Tags

TEKS.MATH.9-12.III.C.3

TEKS.MATH.9-12.II.C.1

A wall clock is equally divided into 12 sections. If the clock reads 8:00 and has a diameter of 12.5 inches, what is the area of the smaller sector formed by the minute and hour hands?

• 40.9 in² just pick this

• 45 in²

• 35 in²

• 30 in²

Tags

TEKS.MATH.9-12.IV.C.1

TEKS.MATH.9-12.III.C.3

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

Calculate the length of the bold arc.

• 49.7 ft

• 15.8 ft

• 24.9 ft

• 3.14 ft

Calculate the area of the sector.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

Calculate the area of the sector.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Calculate the length of the bold arc.

• 5040 cm

• 43 cm

• 44 cm

• 14 cm

Find the area of the shaded sector of the circle.

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