Question : The perimeter of a minor sector of a circle of radius 5 cm is 15.5 cm. Find the area of the minor sector (use $\pi=\frac{22}{7}$ ).
Option 1: 17.53 cm2
Option 2: 13.75 cm2
Option 3: 13.57 cm2
Option 4: 17.35 cm2
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Correct Answer: 13.75 cm2
Solution : Let AOB be the sector with O as the centre. Given: Radius = r = 5 cm Perimeter of sector = 15.5 cm So, OA + AB + OB = 15.5 ⇒ 5 + 5 + AB = 15.5 ⇒ AB = 5.5 cm = $l$ Area of sector = $\frac{1}{2}\times r \times l$ $=\frac{1}{2}\times 5 \times 5.5$ $=13.75$ cm2 Hence, the correct answer is 13.75 cm2.
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Question : The area of a sector of a circle is 616 cm2 with a central angle of 10°. The radius of the circle is_____. (use $\pi=\frac{22}{7}$)
Option 1: 84 cm
Option 2: 21 cm
Option 3: 48 cm
Option 4: 28 cm
Question : The perimeter of a sector of a circle of radius 7.4 cm is 20.6 cm. The area of this sector is:
Option 1: 42.92 cm2
Option 2: 5.8 cm2
Option 3: 10.73 cm2
Option 4: 21.46 cm2
Question : Find the surface area of a sphere whose radius is 3.5 cm. Use $(\left.\pi=\frac{22}{7}\right)$.
Option 1: 154 cm2
Option 2: 152 cm2
Option 3: 146 cm2
Option 4: 160 cm2
Question : A copper wire is bent in the form of a square and it encloses an area of 30.25 cm2. If the same wire is bent to form a circle, then find the area of the circle. [Use $\pi=\frac{22}{7}$]
Option 1: 38.50 cm2
Option 2: 42.25 cm2
Option 3: 35 cm2
Option 4: 30.25 cm2
Question : The circumference of a circle is 132 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$)
Option 1: 1380 cm2
Option 2: 1322 cm2
Option 3: 1086 cm2
Option 4: 1386 cm2
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