Question

Sofia is making quarter circle felt pieces for a sewing project. If the diameter of one full circle is 4.6 inches, what is the area of each quarter circle rounded to the nearest hundredth? Use 3.14 for

Answer 1

Given:

Sofia is making quarter-circle felt pieces for a sewing project.

If the diameter of one full circle is 4.6 inches

To find:

What is the area of each quarter circle rounded to the nearest hundredth?

Solution:

The diameter of the one full circle, d = 4.6 inches

∴ The radius of the circle, r = $\frac{d}{2} = \frac{4.6}{2} = 2.3 \:inches$

We know that,

$\boxed{\bold{Area \:of \:a \:circle = \pi \:r^2}}$

∴ The area of the full circle = π (2.3)² = 3.14 × 2.3² = 16.6106 inches²

Now,

The area of each quarter of the circle is,

= Area of a quadrant

= $\frac{1}{4}$ × Area of a circle

= $\frac{1}{4} \times 16.6106$

= $\bold{4.15265\:inches^2}$

rounding off to its nearest hundredth, we get

=  $\bold{4.15 \:inches ^2}$

Thus, the area of each quarter circle rounded to the nearest hundredth is → 4.15 inches².

----------------------------------------------------------------------------------------------

Also view the related links:

Find the area of a quadrant of a circle whose circumference is 22 CM

https://brainly.in/question/1734389

Find the area of a quadrant of a circle where the circumference of a circle is 144 cm

https://brainly.in/question/6658056

Find the area of the quadrant of a circle of radius 7 cm

https://brainly.in/question/1591300