A goat is tied outside to the corner of a shed by a 7m long rope. If the shed has the dimensions of 8m by 5m, find the area of grass (to the closest meter) on which the goat can graze.
This is a great question! I have assumed that outside the buiding is all grass. :)
Grassed area = 3/4 of the big circle + the quadrant of the little circle
$$\\grass =\frac{3}{4}\times \pi \times 7^2\;+\;\frac{1}{4}\pi\times 2^2\\\\
grass =\frac{151\pi}{4}\\\\
grass =\frac{151\pi}{4}\\\\
grass =118.6\;m^2\qquad$Correct to 1 decimal place$\\\\$$
If you have any questions just ask :))
This is a great question! I have assumed that outside the buiding is all grass. :)
Grassed area = 3/4 of the big circle + the quadrant of the little circle
$$\\grass =\frac{3}{4}\times \pi \times 7^2\;+\;\frac{1}{4}\pi\times 2^2\\\\
grass =\frac{151\pi}{4}\\\\
grass =\frac{151\pi}{4}\\\\
grass =118.6\;m^2\qquad$Correct to 1 decimal place$\\\\$$
If you have any questions just ask :))