The shaded area $ABCD$ in the diagram represents a flowerbed formed by arcs of $2$ quadrants of

Question

The shaded area $ABCD$ in the diagram represents a flowerbed formed by arcs of $2$ quadrants of radius $21$ m and another $2$ quadrants of radius $14$ m. $\left[ \mathrm{Take \ }\pi =\frac{22}{7} \right]$ Purple orchids were planted in the flowerbed at a cost of $\$75$ per square metre. Find the cost of planting the purple orchids. A fence is going to be put up around the perimeter of the flowerbed. Given that the fencing cost $\$42$ per metre, find the cost of fencing the flowerbed. A goods and services (GST) tax of $7\%$ is imposed on the total cost of planting and fencing the flowerbed. Find the total cost of planting and fencing the flowerbed inclusive of the GST.

Accepted Answer

(a) $\$16{,}800.00$ (2 d.p.) (b) $\$4{,}620.00$ (2 d.p.) (c) $\$22{,}919.40$ (2 d.p.)

Composite Circular Flowerbed: Area, Perimeter & Cost

Composite Circular Flowerbed: Area, Perimeter & Cost

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