Sandra just finished planting avocados, carrots, radishes, tomatoes, and spinach in her new garden. The garden is a circle whose diameter is 50 years. If she plants equal regions of each vegetable, what is the area of Sandra's garden that has carrots? Use 3.14 for pi.

Question

Aries · Answer

help plz

Luigi0210 · Answer

I'm going to assume you meant *50 yards* and not years lol
But to start, you're gonna need the formula for the Area of A Circle:
$$\large A= r^2 \pi$$ 
The diameter is given as 50 yards, so just take half to get the radius of 25 yards: 
$$\Large A = (25)^2 \pi $$
Just multiply it out, and use 3.14 for pi 
$$\Large A = (625)(3.14) $$
Giving you an area of 
$$\Large A = 1962.5 ~yards^2 $$
Since there are 5 vegetables, divide by 5 to get the area that is covered by just carrots. 
$$\large A_{carrots} = \frac{1962.5}{5}~yards^2 $$

Aries · Answer

thank you!

Renne · Answer

I'm not sure, but I think the area of Sandra's garden that has carrots can be determined by finding the area of the circle and then multiplying it by the ratio of the region occupied by carrots. Since Sandra planted equal regions of each vegetable, the ratio of the region occupied by carrots should be 1/5. Therefore, the area of the garden that has carrots can be calculated using the formula A = πr^2, where r is the radius of the circle. Since the diameter of the circle is 50 years, the radius is 25 years. Substituting the value of r into the formula, we get A = 3.14 x 25^2 x (1/5) = 78.5 square years. So, the area of Sandra's garden that has carrots is approximately 78.5 square years.