Sector Area

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius of the circle.

Front

How do you find the area of a sector of a circle?

Back

Area of sector = (θ/360) × πr², where θ is the central angle in degrees and r is the radius.

Front

What is the area of a circle with a radius of 10 cm?

Back

Area = π(10)² = 314.16 cm².

Front

If the radius of a circle is doubled, how does the area change?

Back

The area increases by a factor of 4, since Area = π(2r)² = 4πr².

Front

What is the area of a sector with a radius of 5 inches and a central angle of 90°?

Back

Area = (90/360) × π(5)² = 19.63 in².

Front

How do you convert degrees to radians for sector area calculations?

Back

Radians = Degrees × (π/180).

Front

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

Back

Area = (45/360) × π(8)² = 11.31 cm².

Front

What is the relationship between the central angle and the area of a sector?

Back

The area of a sector is directly proportional to the central angle.

Front

How do you find the area of a shaded sector in a circle?

Back

Calculate the area of the entire circle and then find the area of the unshaded part, subtracting it from the total.

Front

What is the area of a sector with a radius of 12 inches and a central angle of 120°?

Back

Area = (120/360) × π(12)² = 50.27 in².