Understanding the Area of a Sector

What is the first step in finding the area of a sector of a circle?

• Add the arc measure to the radius

• Divide the arc measure by 360

• Multiply the radius by the diameter

• Subtract the arc measure from 360

If a circle has a radius of 8 feet and a central angle of 70°, what is the area of the sector?

• 64.00 square feet

• 50.24 square feet

• 39.10 square feet

• 28.50 square feet

For a circle with a 10-inch radius and a 90° central angle, what is the area of the sector?

• 100.00 square inches

• 78.54 square inches

• 64.00 square inches

• 90.00 square inches

How can the sector area formula be rearranged to find the total area of the circle?

• By dividing both sides by the sector area

• By multiplying both sides by the sector area

• By dividing both sides by the area of the full circle

• By adding the central angle to both sides

Given a sector area of 35 cm² and a central angle of 40°, what is the total area of the circle?

• 250 cm²

• 400 cm²

• 200 cm²

• 315 cm²