Understanding Circle Sectors

The video tutorial explains how to calculate the area of a sector in a circle with a given central angle. It starts by introducing the circle's total area and the sector's central angle. The tutorial then demonstrates how to use the ratio of the central angle to the total degrees in a circle to find the sector's area. Finally, it simplifies the calculation using fractions to arrive at the final area of the sector.

What is the total area of the circle mentioned in the problem?

• 81 pi

• 90 pi

• 100 pi

• 72 pi

What is the central angle of the sector in the circle?

• 90 degrees

• 360 degrees

• 350 degrees

• 180 degrees

How do you find the ratio of the sector's area to the circle's total area?

• By dividing the sector's angle by 360

• By multiplying the sector's angle by 360

• By subtracting the sector's angle from 360

• By adding the sector's angle to 360

What is the simplified form of 350 divided by 360?

• 5/6

• 35/36

• 7/8

• 1/2

What is the first step in calculating the area of the sector?

• Add 81 pi to both sides

• Divide both sides by 81 pi

• Subtract 81 pi from both sides

• Multiply both sides by 81 pi

What is the numerator in the expression for the sector's area?

• 35 times 9 pi

• 81 pi

• 36 pi

• 9 times 4 pi

What is the denominator in the expression for the sector's area?

• 36

• 81

• 9 times 4

• 9 times 9

What is the final calculated area of the sector?

• 315 pi over 4

• 350 pi over 4

• 270 pi over 4

• 315 pi over 9

How is 35 times 9 calculated in the final step?

• 350 minus 35

• 270 plus 45

• 180 plus 135

• 315 minus 0