Answer: 153.86 cm²
Step-by-step explanation: To find the area of the circle shown here, start with the formula for the area of a circle which is A = πr².
Notice that here, we're given the diameter instead of the radius.
Remember that the radius is equal to half of the diameter.
So the radius of this circle will be equal to half of 14 cm or 7 cm.
So plugging into the formula, we have (π)(7 cm)².
A common mistake is to plug 14 cm into the formula but remember
that we must plug in the radius and not the diameter.
Multiplying, (7 cm)² is equal to (7 cm)(7 cm) or 49 cm².
So we have 49π cm².
So the area of the circle shown here is 49π cm².
Now, remember that π is approximately equal to 22/7 or 3.14 so we
can estimate the area of the circle by plugging in 3.14 for π.
So we have (49)(3.14) which is equal to 153.86 cm².
So the area of the circle is approximately equal to 153.86 cm².