202k views
4 votes
A packet of grass seed can be

used to cover 50m² of lawn.
A circular lawn has a diameter of 20 metres
How many packets of grass
seed must be bought so that the entire lawn can be covered?

User Ivan Ruski
by
4.2k points

2 Answers

3 votes
7 packets
Ea y square m = 1/50 = 0.02 packets per square meter

Radius = 10
Area : 10 square x pi = 100 x pi. = 314.16.....

314.16....x 0.02 = 6.283....
More than 6 packets are needed
So 7 packets must be bought

User Kyrylo Liubun
by
5.6k points
3 votes

Answer:

7 packets of grass seed

Explanation:

First, find the area of the circular lawn using the formula, A =
\pi

If the diameter is 20 meters, the radius is 10 meters.

Plug in 10 as the radius and solve for the area:

A =
\pi

A =
\pi(10²)

A = 100
\pi

So, the area of the lawn is 100
\pi m² or approximately 314.16 m²

Divide this by 50 to find how many packets of grass seed are needed:

314.16/50

= 6.28

Round this up to 7, since we need to have a whole number answer.

So, 7 packets of grass seed have to be bought.

User Joyner
by
5.1k points
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