Area of a Circle Sector Worksheet
This worksheet focuses on calculating the area of a circle sector for Grade 12 students, covering various scenarios and problem types.
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Area of a Circle Sector
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Read each question carefully and calculate the area of the circle sector. Show all your work.
1. A circle has a radius of 10 cm. Find the area of a sector with a central angle of 45°.
2. Calculate the area of a sector with a radius of 15 inches and a central angle of 2 radians.
3. The formula for the area of a sector when the central angle \(\theta\) is in degrees is \(A = \frac{\theta}{360^{\circ}} \times \pi r^{2}\), where 'r' is the of the circle.
4. When the central angle \(\theta\) is given in radians, the formula for the area of a sector is \(A = \frac{1}{2} r^{2} \theta\). In this formula, \(\theta\) must be in .
5. A circle has a radius of 8 cm. What is the area of a sector whose arc length is 12 cm?
32 cm²
48 cm²
64 cm²
96 cm²
6. A sector has an area of 50\(\pi\) cm² and a radius of 10 cm. What is the central angle in degrees?
90°
120°
180°
270°
7. If the radius of a circle is doubled, the area of a sector with the same central angle will also double.
True
False