one medium circle and one small circle touche echother and each of tese circles touches the big circle caculatete the shaded regen use 3.14 in it the medum circle is 10 and the small circle is 4
no idea. what is the shaded region?
And are the 10 and 4 the radii, the diameters, or the areas?
and where is the center of the large circle?
I have no idea ðŸ˜
To calculate the shaded region, we need to find the area of the smaller circle, the area of the larger circle, and then subtract the sum of those areas from the area of the larger circle.
1. Area of the smaller circle:
The area of a circle can be calculated using the formula: A = π * r^2, where A is the area and r is the radius.
In this case, the radius of the smaller circle is given as 4. Using the formula, we calculate the area as follows:
A_small = 3.14 * 4^2 = 3.14 * 16 = 50.24 square units.
2. Area of the larger circle:
The radius of the larger circle is not given, but we know that it touches the smaller circle. This means that the distance between the centers of the two circles is equal to the sum of their radii.
Given the radius of the smaller circle as 4, and the radius of the medium circle (which we'll consider as the larger circle) as 10, the radius of the larger circle can be calculated as follows:
Radius_larger = Radius_medium + Radius_small = 10 + 4 = 14.
Now, we can calculate the area of the larger circle using the formula mentioned above:
A_large = 3.14 * 14^2 = 3.14 * 196 = 615.44 square units.
3. Shaded region calculation:
Finally, we subtract the sum of the areas of the smaller and medium circles from the area of the larger circle to obtain the shaded region:
Shaded region = A_large - (A_medium + A_small)
= 615.44 - (50.24 + 3.14)
= 615.44 - 53.38
= 562.06 square units.
Therefore, the shaded region has an area of 562.06 square units.