Question : Find the area of a circle whose radius is equal to the side of a square whose perimeter is 196 m.
Option 1: 7457 m2
Option 2: 7546 m2
Option 3: 6477 m2
Option 4: 8844 m2
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Correct Answer: 7546 m2
Solution : Given: The perimeter of the square = 196 m Perimeter of a square = 4 $×$ side ⇒ 196 = 4 × side ⇒ side = $\frac{196}{4}$ = 49 m Now, Area of the circle = $\pi ×$ radius2 ⇒ Area of the circle = $\pi ×$ (49)2 ⇒ Area of the circle = 2401 $× \frac{22}{7}$ = 7546 m2 Hence, the correct answer is 7546 cm2.
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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
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 : What is the area of a triangular flower bed of a garden whose perimeter is 20 m and two sides are 5 m and 6 m?
Option 1: $10 \sqrt{2}$ m2
Option 2: $2 \sqrt{10}$ m2
Option 3: $5 \sqrt{2}$ m2
Option 4: $4 \sqrt{5}$ m2
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 area of a triangle is half the area of a square. The perimeter of the square is 172 cm. What is the area of the triangle (in cm2)?
Option 1: 924.5
Option 2: 1984
Option 3: 1849
Option 4: 992
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