Acircle fits inside a semicircle of diameter 24mm

calculate the shaded area
give your answer to 3 significant figures and state its units

The shaded are is

Step-by-step explanation:

we know that

The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle

step 1

Find the area of semicircle

The area of semicircle is equal to

where

----> the radius is half the diameter

substitute

step 2

Find the area of the circle inside the semicircle

The area of circle is equal to

where

---> the radius of circle inside is half the radius of semicircle

substitute

step 3

Find the shaded area

assume

3 significant figures is

segment bisector

step-by-step explanation:

line segment bisector. definition: a line, ray or segment which cuts another line segment into two equal parts. try this drag one of the orange dots at a or b and note the the line ab always divides the line pq into two equal parts.

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