**1. A horse is tied to a pole fixed at one corner of 30 m × 30 m square field of grass, by means of a 10 m long rope. Find the area of that part of the field, in which the horse can graze.
**

**2. From four corners of a square sheet of side 4 cm, four pieces, each in the shape of arc of a circle with radius 2 cm are cut out. The area of the remaining portion is
**

**3. If the four equal circles of radius 3 cm touch each other externally, then the area of the region bounded by the four circles is
**

**4. Three circles of diameter 10 cm each, are bound together by a rubber band, as shown in the figure. The length of the rubber band (in cm), if it is stretched as shown, is
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=(30+10π) cm

**5. An equilateral triangle of side 6 cm has its corners cut off to form a regular hexagon. Area (in cm ^{2}) of this regular hexagon will be
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**6. ABC is an equilateral triangle of side 2 cm. With A, B, C as centres and radius 1 cm three arcs are drawn. The area of the region within the triangle bounded by the three arcs is **

^{2}

^{2}

^{2}

^{2}

**7. The area of the shaded region in the figure given below is**

**8. The area of a square and a rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 5 cm and the breadth is less than the length of the side of the square by 3 cm. The perimeter of the rectangle is
**

**9. If the areas of a circle and a square are equal, then the ratio of their perimeters is
**

**10. A circular wire of diameter 42 cm is bent in the form of a rectangle whose sides are in the ratio 6 : 5. The area of the rectangle is. (use π=22/7)
**

^{2}

^{2}

^{2}

^{2}

**11. A square and an equilateral triangle are drawn on the same base. The ratio of their areas is **

**12. There is a rectangular tank of length 180 m and breadth 120 m in a circular field. If the area of the land portion of the field is 40000 m2,what is the radius of the field? (tate π=22/7)
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**13. The circumference of a circle is 100 cm. The side of a square inscribed in the circle is
**

**14. The area of the greatest circle inscribed inside a square of side 21 cm is (take π=22/7)**

^{2}

^{2}

^{2}

^{2}

**15. The length of a rectangular garden is 12 m and its breadth is 5 m. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden
**