Areas related to circles: Quiz 2

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1. Find the area of the sector of a circle having radius 6 cm and of angle 30°. [Take 𝜋 = 3.14]

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2. What is the perimeter of the sector with radius 10.5 cm and sector angle 60°?

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3. A sector of a circle of radius 8 cm contains an angle of 135°. Find the area of the sector.

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4. Find the area of the minor segment of a circle of radius 42 𝑐𝑚, if the length of the corresponding arc is 44 𝑐𝑚.

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5. In the figure, 𝑂𝐴𝐵𝐶 is a quadrant of a circle with centre 𝑂 and radius 3.5 𝑐𝑚. If 𝑂𝐷 = 2 𝑐𝑚, find the area of the shaded region. [Use 𝜋 = 22/7]

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6. A teacher buys a supersized pizza for his after-school club. The super-pizza has a diameter of 18 inches. If the teacher is able to perfectly cut from the center a 36° sector for himself, what is the area of his slice of pizza, rounded to the nearest square inch?

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7. In the figure shown below, line segment AB passes through the center of the circle and has a length of 8cm. Points A, B, and C are on the circle. Sector COB covers 1/6th of the total area of the circle. Find the area of sector COB.

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8. Find the area of shaded region in figure, where a circle of radius 6 𝑐𝑚 has been drawn with vertex 𝑂 of an equilateral triangle 𝑂𝐴𝐵 of side 12 𝑐𝑚. (Use 𝜋 = 3.14 and √3 = 1.73)

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9. Find the area of shaded region shown in the given figure where a circular arc of radius 6 𝑐𝑚 has been drawn with vertex 𝑂 of an equilateral triangle 𝑂𝐴𝐵 of side 12 𝑐𝑚 as centre. (Use 𝜋=3.14 and √3=1.73)

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10. In the figure, the shape of the top of a table is that of a sector of a circle with centre 𝑂 and ∠𝐴𝑂𝐵=90°. If 𝐴𝑂=𝑂𝐵=42 𝑐𝑚, then find the perimeter of the top of the table. [Use 𝜋=22/7]