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.
Includes
Standards
Topics
Grade 9 Geometry: Arcs
Name:
Date:
Score:
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
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.
Grade 9 Math: Geometric Translations
A worksheet covering geometric translations on the coordinate plane for Grade 9 students, including identifying translations, applying translation rules, and determining translation vectors.
Corresponding Parts in Geometry
Grade 9 worksheet on identifying and using corresponding parts of congruent figures, including triangles and polygons.
Midsegment of a Trapezoid Worksheet
This worksheet focuses on understanding and applying the midsegment theorem for trapezoids, including calculating lengths and solving for unknown variables.
Grade 9 Geometric Constructions Worksheet
A Grade 9 math worksheet focusing on geometric constructions using a compass and straightedge, covering bisectors, perpendiculars, and angles.
Finding Quadrant of an Angle
Identify the quadrant of angles in standard position and understand angle measurement in a coordinate plane.