Grade 12 Math: Arcs Worksheet
This worksheet covers key concepts related to arcs in circles, including arc length, central angles, and inscribed angles, suitable for Grade 12 geometry students.
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Grade 12 Math: Arcs
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Read each question carefully and provide your answer in the space provided. 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 radius?
π radians
1 radian
180 degrees
90 degrees
2. If an inscribed angle intercepts an arc of 80 degrees, what is the measure of the inscribed angle?
40 degrees
80 degrees
160 degrees
20 degrees
3. The length of an arc can be calculated using the formula s = rθ, where 's' is the arc length, 'r' is the radius, and θ is the central angle in .
4. A semicircle is an arc that measures exactly degrees.
5. A circle has a radius of 10 cm. If a central angle measures 60 degrees, what is the length of the arc subtended by this angle? (Use π ≈ 3.14)
6. In a circle, an arc has a length of 15π meters and the radius is 10 meters. Find the measure of the central angle in radians.
7. Consider the circle below with center O. If the arc AB measures 120 degrees and the radius is 6 units, calculate the length of arc AB.
8. The measure of an arc is always equal to the measure of its corresponding central angle.
True
False