A circle with the radius of 3cm sits inside a circle with a radius of 7cm
What is the area of the shaded region?
(Round your answer to the nearest hundredth

Step-by-step explanation:

This will form a hollow circular part of a cylinder of outer radius 7cm and inner radius 3cm

Area of a circle is given by πr^2.

Then, the big circle of radius 7cm

Area= πr^2

Area=22/7×7×7

Area =154cm^2.

Area of the circle of radius 3cm

Area= πr^2

Area=22/7×3×3

Area =28.286cm^2.

Area of the shaded part becomes

Big area - small area

154-28.286

Area of shaded part = 125.7143cm^2

Then to the nearest hundredth

Area of shaded part =125.71cm^2

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!