Find the area of the shaded portion of an equilateral triangle with sides 6 units shown in the following figure. A circle of radius 1 unit is centred at midpoint of a side of the triangle.
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Aptitude · all questionsMensuration 2d
Mensuration 2d
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The perimeters of a square and a rectangle are equal. If their area be 'A' m2 and 'B' m2 then correct statement is
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The length of diagonal of a square is 9√2 cm, the square is reshaped to form a triangle. What is the area (in cm2) of largest incircle that can be formed in that triangle?
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A circular wire of length 168 cm is cut and bent in the form of rectangle whose sides are in the ratio of 5 : 7, what is the length (in cm) of the diagonal of rectangle?
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In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter EF, LMNO is a square. What is the area (in cm2) of the shaded region?
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The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m.
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The area of the largest triangle that can be inscribed in a semicircle of radius 6 m is
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In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in cm2) of triangle SQU?
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In the given figure, two squares of sides 8 cm and 20 cm are given. What is the area (in cm2) of the shaded part?
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The area of an isosceles trapezium is 176 cm2 and the height is of the sum of its parallel sides. If the ratio of the length of the parallel sides is 4 : 7, then the length of a diagonal (in cm) is
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The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. If the length of its diagonal be 26 cm, the length of the other diagonal will be:
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A rectangular lawn whose length is twice of its breadth is extended by having four semicircular portions on its sides. What is the total cost (in Rs.) of levelling the entire lawn at the rate of Rs. 100 per square metre, it the smaller side of the rectangular lawn is 12 m? (Take π = 3.14)
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ABCD is a trapezium with AD and BC parallel sides. The ratio of the area of ABCD to that of ΔAED is
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a and b are two sides adjacent to the right angle of a right angled triangle and p is the perpendicular drawn to the hypotenuse from the opposite vertex. Then p2 is equal to
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A took 15 sec to cross a rectangular field diagonally walking at the rate of speed 52 m/min and B took the same time to cross the same field along its sides walking at the rate speed 68 m/min. The area of the field is:
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The area of the shaded region in the figure given below is
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The width of the path around a square field is 4.5 m and its area is 105.75 m2. Find the cost of fencing the path at the rate of Rs. 100 per metre.
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In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR and DES are equilateral triangles. What is the area (in cm2) of the shaded region?
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In the given figure, the ratio of the area of the largest square to that of the smallest square is:
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Two regular polygons are such that the ratio between their number of sides is 1 : 2 and the ratio of measures of their interior angles is 3 : 4. Then the number of sides of each polygon are
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