Sector Area & Arc Length

Front

What is the formula for arc length in a circle?

Back

Arc Length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

How do you calculate the area of a sector?

Back

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

Front

Find the arc length of a circle with a radius of 15 cm and a central angle of 45°.

Back

17.67 cm

Front

What is the area of a sector with a central angle of 60° and a radius of 12 cm?

Back

75.36 cm²

Front

Find the area of a sector with a central angle of 45° and a radius of 10 cm.

Back

19.63 cm²

Front

What is the radius of a circle if the arc length of a 120° sector is 15 cm?

Back

10 cm

Front

Determine the radius of a circle if the arc length of a 180° sector is 20 cm.

Back

10 cm

Front

What is the relationship between the central angle and the arc length?

Back

The arc length is directly proportional to the central angle.

Front

If the radius of a circle is doubled, how does the arc length change for the same central angle?

Back

The arc length also doubles.

Front

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

Back

The area of the sector is reduced to one-fourth.