What is the formula for the area of a full circle?

Sector Area and Arc Length Problems

Interactive Video
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Mathematics
•
9th - 10th Grade
•
Hard

Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
2πr
πd
r²
πr²
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a circle has a radius of 4 cm, what is the area of a quarter circle?
4π cm²
2π cm²
8π cm²
16π cm²
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the arc length of a sector with a 42-degree angle and a radius of 6 cm?
π × 6²
2π × 6
42/360 × 2π × 6
42/360 × π × 6²
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the perimeter of a sector with a central angle of 110 degrees and a radius of 5.1 meters?
25.99 meters
19.99 meters
15.99 meters
10.99 meters
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the angle of a sector if the area is given as 45π and the radius is 18?
Solve θ/360 × 2π × 18 = 45π
Solve θ/360 × π × 18² = 45π
Solve π × 18² = 45π
Solve 2π × 18 = 45π
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle θ if the area of the sector is 45π and the radius is 18?
60 degrees
45 degrees
50 degrees
30 degrees
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given an arc length of 2π, how do you find the radius of the sector?
Solve 2πr = 2π
Solve πr² = 2π
Solve 2π × r × 30/360 = 2π
Solve 2π × r × 1/12 = 2π
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