Question

8. A circular pond of radius 6 m is surrounded
by a path of width 1 m.
(a) Find the area of the path.
(b) The path is resurfaced with astroturf
which is bought in packs each
containing enough to cover an area of
7m? How many packs are required?​

Answer 1

Answer:

8. the area of the path will be given by subtracting the area of the pond with radius 6m from the area of a circle

Answer 2

$area = \pi \times {radius}^{2}$

Area of pond = $\pi \times 6 \times 6$

Area of pond = 113.1 square metres

Are of pond and path combined = $\pi \times 7 \times 7$

Area combined = 153.9 square metres

Area of path = area of both - area of pond

Area of path= 40.8 square metres.

Six bags are needed.

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