51.The area of an equilateral triangle is Taking each angular point as centre, circles are drawn with radius equal to half the length of the side of the triangle. Find the area of triangle not included in the circles.
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52.
Fig. 12.47A shows a decorative block which is made of two solids—a cube and a hemisphere. The base of the block is a cube with edge 5 cm and the hemisphere, fixed on the top has a diameter of 4.2 cm. Find the total surface area of the block.
53.Find the area of a sector of angle 0 of a circle with radius R.
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54.If the perimeter and the area of a circle are numerically equal. Find the radius of the circle.
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55.Find the area of a ring with outer and inner radii being R and r.
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56.A steel wire, when bent in the form of a square, enclosed an area of 121 cm;. The same wire is bent in the form of a circle. Find the area of the circle.
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57.A race track is in the form of a ring whose inner and outer circumferences are 437 m and 503 m respectively. Find the width of the track.
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58.Find the perimeter of a quadrant of a circle of radius r.
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59.Find the area of a quadrant of a circle of radius r.
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60.Find the circumference of the circle whose diameter measures 14 cm.
Short Answer Type
Taking each angular point as centre, circles are drawn with radius equal to half the length of the side of the triangle. Find the area of triangle not included in the circles.
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