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Areas Related to Circles

Short Answer Type

131. A circular track 8.5 meters runs inside a circular garden of 50 m radius. Find the cost of levelling the track at Rs 5 per sq. metre.

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132. The sum of the radii of two circle is 140 cm and difference of their circumferences is 88 cm. Find the diameters of the circles.

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133. A copper wire when bent in the form of a square encloses an area of 121 sq. cm. If the same wire is bent to form a circle, find the area of the circle.

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134. A steel wire when bent in the form of a square encloses an area of 484 cm². If the same wire is bent in the form of a circle, find the area enclosed by it.

616 cm²

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135. A wire is looped in the form of a circle of radius 28 cm. It is rebent into a square form. Determine the length of the side of the square.

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136. The sum of the radii of two circles is 140 cm and the difference of their circumferences is 88 cm. Find the diameters of the circles.

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137. The circumference of a circle exceeds the diameter by 16.8 an. Find the radius of the circle.

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138.

Two circles touch externally. The sum of their areas is 116 π cm² and the distance between their centres is 6 cm. Find the radii of the circles.

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139. It is proposed to add to a square lawn measuring 58 cm on a side, two circular ends. The centre of each circle being the point of intersection of the diagonals of the square. Find the area of the whole lawn.

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140. In the fig., two circular flower beds have been shown on two sides of a square lawn ABCD of side 50 m. If the centre of each circular flower bed is the point of intersection of the diagonals of the square lawn. Find the sum of the areas of the lawn and the flower beds. (Use. π = 3.14).