Exploring Arcs: Grade 7 Geometry
A worksheet for 7th graders to practice identifying, measuring, and calculating arc lengths and central angles.
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Exploring Arcs: Grade 7 Geometry
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Read each question carefully and answer to the best of your ability. Show all your work for calculation problems.
1. An arc is a portion of the of a circle.
2. The measure of a central angle is equal to the measure of its arc.
3. A semicircle is an arc that measures exactly degrees.
4. The formula for the circumference of a circle is C = .
Look at the circle below. Identify each of the following:
a. Major arc:
b. Minor arc:
c. Semicircle:
1. If the central angle of a circle is 90 degrees, what is the measure of its intercepted arc?
45 degrees
90 degrees
180 degrees
360 degrees
Calculate the length of the arc shown in the diagram. Use π ≈ 3.14. Round your answer to two decimal places.
Show your work:
Arc Length =
1. The measure of an arc is always in centimeters.
True
False
2. A major arc is always greater than 180 degrees.
True
False
A circular clock has a radius of 10 inches. What is the length of the arc formed by the minute hand moving from the 12 to the 3?
Answer: