The center circle on a soccer field has a radius of 9 yards. What is the area of the center circle? Use 3.14 for pie
1 answer:
Answer:
Step-by-step explanation:
The area of a shape is the space occupied by the surface of an object. The area of a circle can be calculated using the following formula.
The radius (r) of the center circle on the soccer field is 9 yards. We are asked to use 3.14 for pi.
- r= 9 yd
- π= 3.14
Substitute these values into the formula.
Solve the exponent.
- (9 yd)² = 9 yd * 9 yd = 81 yd²
Multiply.
The area of the center circle on the soccer field is <u>254.34 square yards.</u>
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Answer:
D) Rhombus
Step-by-step explanation:
The figure is a parallelogram with equal-length sides, so is a rhombus.
Answer:
We want to find a solution of the system:
x^2 + y^2 > 49
y ≤ –x^2 – 4
Here we do not have any options, so let's try to find a general solution.
First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:
(x - a)^2 + (y - b)^2 = R^2
If we look at our first inequality, we can write it as:
x^2 + y^2 > 7^2
So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.
From the other equation, we would get:
y ≤ –x^2 – 4
This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.
Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.
You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:
by looking at the graph, we can see a lot of points that are solutions, like:
(0, -10)
(0, -15)
(2, -10)
etc.
