Grade 9 Geometry: Arcs Worksheet
Explore the properties of arcs, including arc length and central angles, with this comprehensive geometry worksheet for Grade 9 students.
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Grade 9 Geometry: Arcs
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the measure of a central angle that subtends an arc equal to the circle's circumference?
90 degrees
180 degrees
270 degrees
360 degrees
2. If the radius of a circle is 10 cm and the central angle is 60 degrees, what is the length of the arc?
5π/3 cm
10π/3 cm
π cm
20π cm
3. An arc is a continuous part of the of a circle.
4. The measure of a major arc is always than 180 degrees.
5. A central angle is an angle whose vertex is the of the circle and whose sides are radii.
6. In a circle with a radius of 7 cm, a central angle intercepts an arc of length 11 cm. Calculate the measure of the central angle in radians and degrees.
7. Explain the difference between a minor arc and a major arc. Include a diagram to illustrate your explanation.
8. An inscribed angle is always half the measure of its intercepted arc.
True
False
9. A semicircle is an arc that measures exactly 180 degrees.
True
False
Match the term on the left with its definition on the right.
10. Arc Length
a. An angle whose vertex is the center of the circle
11. Central Angle
b. A continuous part of the circumference of a circle
12. Arc
c. The distance along the curved line of an arc