Understanding Sector Area and Radius of a Circle

The video tutorial explains how to find the radius of a circle given the sector area. It starts by introducing the concept of sector area and the formula used to calculate it. The tutorial then demonstrates how to simplify the formula by reducing fractions and canceling out common terms. Finally, it shows how to solve the equation to find the radius, concluding with the result that the radius is 12 units.

What is the angle of the sector in the given problem?

• 45 degrees

• 90 degrees

• 360 degrees

• 180 degrees

Tags

CCSS.HSG.C.B.5

What is the area of the sector provided in the problem?

• 18 pi

• 24 pi

• 48 pi

• 36 pi

Tags

CCSS.HSG.C.B.5

Which formula is used to calculate the sector area of a circle?

• Angle/360 * pi * radius

• Angle/360 * pi * radius squared

• Angle/180 * pi * radius squared

• Angle/180 * pi * radius

What is the reduced fraction of 90/360?

• 1/5

• 1/4

• 1/3

• 1/2

Tags

CCSS.7.G.B.4

After simplifying the formula, what is the equation obtained before solving for the radius?

• 1/5 of radius squared = 144

• 1/2 of radius squared = 144

• 1/3 of radius squared = 144

• 1/4 of radius squared = 144

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle after solving the equation?

• 10

• 11

• 12

• 13

Tags

CCSS.HSG.GPE.A.1