Practice Areas Related To Circles (11) - AREAS RELATED TO CIRCLES

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9 questions

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4 cards from this section. Quick, good the night before a test.
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6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the area of a sector of a circle with radius 6 cm and angle 60°.
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Use the sector area formula.
Question 2.
What is the length of the arc for a sector with an angle of 45° in a circle with a radius of 10 cm?
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Use the arc length formula.
3Question 3.
What is the area of a sector with a radius of 5 cm and an angle of 30°?
- 3.93 cm²
- 2.94 cm²
- 7.85 cm²
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Think about what part of the circle this represents.
4Question 4.
True or False: The area of a segment can be calculated directly without knowing the area of the corresponding sector.
- True
- False
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Remember how these areas relate to each other.
Question 5.
A circle has a radius of 30 cm. Find the area of the segment formed when a chord subtends a 45° angle at the center.
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Use the law of sine to find the height of the triangle.
Question 6.
For a circle with a diameter of 28 m, find the area of the major segment when an inscribed angle measures 70°.
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You have to first find the area of the circle.

5 more questions in this section. Enroll free to practise them all.