Circles Quiz
Quiz
•
Other
•
10th Grade
•
Practice Problem
•
Hard
Angela Frazier
Used 1+ times
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16 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Answer explanation
The correct formula to calculate the area of a circle with radius r is πr^2, as it involves squaring the radius and multiplying by π.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the diameter of a circle is 10 cm, what is its area?
Answer explanation
The area of a circle is calculated using the formula A = πr^2. Since the diameter is 10 cm, the radius is half of that, which is 5 cm. Substituting the radius into the formula gives A = 25π cm^2.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Answer explanation
The length of an arc of a circle is calculated using the formula: length = (angle/360) * 2 * pi * radius. Substituting the values, we get (45/360) * 2 * pi * 7 = 7pi/4 cm. Therefore, the correct answer is 7pi/4 cm.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Answer explanation
The area of a sector is calculated using the formula A = (θ/360) * π * r^2. Substituting θ = 60° and r = 12 cm, we get A = (60/360) * π * 12^2 = 8π cm^2.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Answer explanation
Answer Explanation highlighting the correct choice: The length of an arc with a central angle of 90° in a circle with a radius of 10 cm is 1/4 of the circumference, which is 5π cm.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Answer explanation
The area of a sector of a circle is calculated using the formula (θ/360) * π * r^2. Substituting the values, we get (30/360) * π * 8^2 = 4π/3 cm^2, which is the correct choice.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tangent line touches a circle at exactly how many points?
0
1
2
It depends on the circle's radius.
Answer explanation
A tangent line touches a circle at exactly 1 point. This is a geometric property of tangency between a line and a circle.
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