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A circle with a radius of 3cm sits inside a circle with a radius of 4cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

The area of the shaded region is 21.99 cm²

Step-by-step explanation:

The shaded region is the part between the two circles

The area of the shaded part is the difference between the areas of the two circles

∵ A circle with a radius of 3 cm sits inside a circle with a radius

  of 4 cm

∴ The radius of the small circle = 3 cm

∴ The radius of the big circle = 5 cm

The formula of the area of a circle is A = πr²

∴ The area of the small circle = π(3)²

∴ The area of the small circle = 9π cm²

∴ The area of the big circle = π(4)²

∴ The area of the big circle = 16π cm²

The area of the shaded region = area big circle - area small circle

∴ The area of the shaded region = 16π - 9π

∴ The area of the shaded region = 7π = 21.99114858

- Round it to the nearest hundredth

∴ The area of the shaded region = 21.99 cm²

The area of the shaded region is 21.99 cm²

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9