Answer:
a) 314 m²
b) Estimate is 5 bags
c) Estimate for b is an underestimate (choice B)
Explanation:
The garden is in the shape of a circle so the area of the garden will be the area of the circle
Part a
The area of a circle given radius r is
A = πr²
The diameter is given as 20m so radius = diameter/w = 20/2 = 10m
With π = 3.14
Area of the garden is 3.14 x 10² = 3.14 x 100 = 314 m² (Answer a)
Part b
We are asked to provide an estimate of the number of bags required to seed the garden by rounding to 1 significant figure
314 estimate to 1 significant figure = 300
58 estimate to 1 significant figure = 60
Estimate of number of bags = 300/60 = 5 (Answer b)
Part c
To determine if the estimate is over or under let's calculate the actual number of bags required.
= 314/58 ≈ 5.41
Our estimate of 5 bags is below the true requirement of 5.41 bags
So our estimate for b) is an underestimate (Choice B)