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3 cards from this section. Quick, good the night before a test.
Find the length of an arc with a radius of 4 cm and an angle of 30°.
Use the arc length formula: \\( \\frac{30}{360} \\times 2\\pi(4) \\).
What is the area of a sector with radius 3 cm and angle 60°?
Apply the area formula for the sector.
What is the formula for the length of an arc?
Think about the proportion of the circle represented by the angle.
True or False: The area of a segment is always less than the area of the corresponding sector.
Consider how segments and sectors relate to each other!
A circular pond has a diameter of 20 m. A path goes around it, 1 m wide. Find the area of the path if the angle subtended is 90°.
Utilize formulas for both sectors.
A wheel of radius 15 cm turns through an angle of 150°. What is the distance covered along the edge?
Distance is the length we find, don’t forget to calculate!
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