Area of a sector

If a sector has an area of 15 cm² and a radius of 5 cm, what is the central angle?

• 120 degrees

• 150 degrees

• 171.89 degrees

• 200 degrees

What happens to the area of a sector if the radius is doubled?

• The area remains the same.

• The area increases by a factor of two.

• The area increases by a factor of four.

• The area decreases by a factor of four.

How do you convert the area of a sector from square centimeters to square meters?

• Multiply the area in square centimeters by 10,000.

• Add 10,000 to the area in square centimeters.

• Divide the area in square centimeters by 10,000.

• Subtract 10,000 from the area in square centimeters.

What is the area of a sector with a radius of 3 cm and a central angle of 120 degrees?

• 3π cm² (approximately 9.42 cm²)

• 4π cm² (approximately 12.57 cm²)

• 2π cm² (approximately 6.28 cm²)

• 5π cm² (approximately 15.71 cm²)

If a sector has a central angle of 180 degrees, what fraction of the circle does it represent?

• @@rac{1}{4}@@

• @@rac{1}{2}@@

• @@rac{3}{4}@@

• @@rac{1}{3}@@

What is the area of a circle with radius r?

• @@A = ext{π} r^2@@

• @@A = 2 ext{π} r@@

• @@A = ext{π} r@@

• @@A = ext{π} r^3@@

If the radius of a sector is 10 cm and the central angle is 90 degrees, what is the area of the sector?

• 25π cm² (approximately 78.54 cm²)

• 20 cm²

• 30 cm²

• 15π cm² (approximately 47.12 cm²)

What does the variable 'x' represent in the area of a sector formula?

• 'x' represents the radius of the sector.

• 'x' represents the area of the sector in square units.

• 'x' represents the central angle of the sector in degrees.

• 'x' represents the length of the arc of the sector.

What is the area of a sector with a radius of 7 cm and a central angle of 270 degrees?

• @@rac{147 ext{π}}{4} ext{ cm}^2 ext{ (approximately 115.19 cm}^2)@@

• @@rac{49 ext{π}}{2} ext{ cm}^2 ext{ (approximately 76.96 cm}^2)@@

• @@rac{21 ext{π}}{4} ext{ cm}^2 ext{ (approximately 16.49 cm}^2)@@

• @@rac{7 ext{π}}{2} ext{ cm}^2 ext{ (approximately 10.99 cm}^2)@@

What is the area of a sector with a radius of 8 cm and a central angle of 45 degrees?

• 8π cm² (approximately 25.13 cm²)

• 16π cm² (approximately 50.27 cm²)

• 4π cm² (approximately 12.57 cm²)

• 2π cm² (approximately 6.28 cm²)