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STD X ACHIEVEMENT TEST CHAPTER 12 AREA RELATED TO CIRCLES
STD X
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NAME OF THE STUDENT
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DIVISION
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DYNAMIC
EXCELLENT
ROLL NO
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Q.1) The perimeter of a circle having radius 5cm is equal to:
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1 point
(a) 30 cm
(b) 3.14 cm
(c) 31.4 cm
(d) 40 cm
Q.2) The area of a sector of a circle with radius 6 cm if the angle of the sector is 60°.
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1 point
142/7
152/7
132/7
122/7
Q.3) In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. The length of the arc is;
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(a) 22 cm
(b) 21 cm
(c) 25 cm
(d) 20 cm
Q.4) In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. The area of the sectorformed by the arc is:
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(a) 200 sq. cm
(b) 220 sq. cm
(c) 231 sq. cm Ans
(d) 250 sq. cm
Q.5) If the circumference of a circle and the perimeter of a square are equal, then
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(a) Area of the circle = Area of the square
(b) Area of the circle > Area of the square
(c) Area of the circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square
Q.6) The area of a quadrant of a circle whose circumference is 22 cm, is
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11/8 cm²
77/2 cm²
77/4 cm²
77/8 cm²
Q.7) Area of the largest triangle that can be inscribed in a semi-circle of radius r units, in square units is:
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1 point
r²
1/2 r²
2r²
√2r²
Q.8) The wheel of a motorcycle is of radius 35 cm. The number of revolutions per minute must thewheel make so as to keep a speed of 66 km/hr will be
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1 point
(a) 50
(b) 100
(c) 500
(d) 1000
Q.9) ABCDEF is any hexagon with different vertices A, B, C, D, E and F as the centres of circles withsame radius r are drawn. The area of the shaded portion is
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πrA²
2πrA²
3πrA²
4πrA²
Q.10) A round table cover has six equal designs as shown in the figure. Ifthe radius of the cover is 28 cm, then the cost of making the designat the rate of ` 0.35 per cm2is:
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1 point
(a) Rs.146.50
(b) Rs.148.75
(c) Rs.152.25
(d) Rs.154.75
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