Find the area of shaded region in given figure 14 cm and 7 cm
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Given:

The radii of circles are 14 cm and 7 cm.

To find:

The area of the shaded region.

Solution:

Area of a circle is

From the given figure, it is clear that

Area of shaded region = Area of larger circle - Area of smaller circle

                                      =

                                      =

                                      =

                                      =

Therefore, the area of the shaded region is 462 sq. cm.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.