The total area of two equal cicles is 308cmsq. Find the perimeter of the rectangle
gve me ful sltn plz nd ans is 84cm
What does the 2 circles have to do with te rectangle?
Actualy dis qustn gvn by diagrm two circles are with in the rectangle
To find the perimeter of the rectangle, we first need to determine the dimensions of the rectangle. Since the problem mentions two equal circles and the total area, we can deduce that the rectangle is formed by placing the circles side by side.
We can start by finding the radius of one of the circles.
Let's assume the radius of the circle is "r". Therefore, the area of one circle is given by the formula A = πr^2.
Given that the total area of both circles is 308 cm^2, we have the equation:
2 * πr^2 = 308
Dividing both sides of the equation by 2 gives us:
πr^2 = 154
To solve for "r", we can rearrange the equation as follows:
r^2 = 154/π
r^2 ≈ 49.01
r ≈ √49.01
r ≈ 7
Now that we have found the radius of the circle, we can determine the dimensions of the rectangle. The width of the rectangle will be equal to the diameter of the circle, which is 2 * r.
width = 2 * 7 = 14 cm
Since there are two circles placed side by side, the length of the rectangle will be equal to the combined circumferences of both circles, which is 2 * π * r.
length = 2 * π * 7 ≈ 44 cm
Now we have the dimensions of the rectangle, which are width = 14 cm and length = 44 cm.
To find the perimeter of the rectangle, we use the formula:
Perimeter = 2 * (width + length)
Perimeter = 2 * (14 + 44)
Perimeter = 2 * 58
Perimeter = 116 cm
Therefore, the perimeter of the rectangle is 116 cm.