1. Find the area of the given circle if half the area is 3.5. Round to the nearest tenth. (Show your work)
42.8c * m ^ 2
11c * m ^ 2
38.5c * m ^ 2
22c * m ^ 2
38.5c * m ^ 2
Work: 3.5 * 2 = 7; 7 * π = 21.99; 21.99 * 2 = 43.98; 43.98 rounded to the nearest tenth = 38.5
To find the area of the circle, let's start by setting up an equation.
Let A be the area of the circle. We know that half the area is 3.5, so we can write:
(1/2) A = 3.5
To solve for A, we can multiply both sides of the equation by 2:
A = 3.5 * 2
A = 7
So, the area of the circle is 7.
Now, let's look at the options:
1. 42.8c * m ^ 2
2. 11c * m ^ 2
3. 38.5c * m ^ 2
4. 22c * m ^ 2
We need to round the answer to the nearest tenth. Since 7 is already rounded to the nearest whole number, the answer is:
7c * m ^ 2
Therefore, the correct option is not provided among the given options.
To find the area of the given circle, we will use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius.
First, we need to find the radius of the circle. Since half the area is given as 3.5, we can set up the equation:
(1/2)A = 3.5.
Multiplying both sides of the equation by 2, we have:
A = 3.5 * 2,
A = 7.
Now we can substitute this value of A into the area formula:
A = πr^2.
7 = πr^2.
Dividing both sides of the equation by π, we get:
r^2 = 7 / π.
Taking the square root of both sides, we have:
r = √(7 / π).
Now we can substitute the value of r into the formula to find the area:
A = π(√(7 / π))^2,
A = 7 / π.
To round the answer to the nearest tenth, we can divide both 7 and π by 3.14 (approximating π to 3.14):
A ≈ 7 / 3.14,
A ≈ 2.23.
Therefore, the area of the given circle, rounded to the nearest tenth, is approximately 2.23c * m^2