Areas related to circles: Quiz 2 1 / 10 1. Find the area of the sector of a circle having radius 6 cm and of angle 30°. [Take 𝜋 = 3.14] 1.22 cm² 2.65 cm² 7.22 cm² 9.42 cm² 2 / 10 2. What is the perimeter of the sector with radius 10.5 cm and sector angle 60°? 12 cm 22 cm 32 cm 42 cm 3 / 10 3. A sector of a circle of radius 8 cm contains an angle of 135°. Find the area of the sector. 24π cm² 14π cm² 10π cm² 22π cm² 4 / 10 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. 624-441√3)cm² (924-144√3)cm² (924-441√3)cm² (624-144√3)cm² 5 / 10 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] 4.125 cm² 6.125 cm² 8.125 cm² 10.125 cm² 6 / 10 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? 25 inch² 30 inch² 35 inch² 15 inch² 7 / 10 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 1/6^{th} of the total area of the circle. Find the area of sector COB. A) 4π/3 cm² B) 8π/3 cm² C) 8π/5 cm² D) 18π cm² 8 / 10 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) 573.5 cm² 27.6 cm² 107.4 cm² 137.7 cm² 9 / 10 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) 655.05 cm² 256.55 cm² 156.55 cm² 106.05 cm² 10 / 10 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] 202 cm 420 cm 282 cm 105 cm Your score is The average score is 0% 0% Restart quiz