Question

Can someone help me? It’s 7th grade geometry

Answer 1

The area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

Calculating the area of a sector

From the question, we are to determine the area of the shaded quarter of the circle

The shaded quarter of the circle is a sector.

The area of a circle is given by the formula,

$A = \frac{\theta}{360^\circ}\times \pi r^{2}$

Where A is the area

θ is the angle subtended

and r is the radius

First, we will calculate the radius of the circle

The radius of the circle equals the length of a side of the square.

From the given information,

Area of the square = 4 cm²

∴ s² = 4 cm²

s =√4 cm²

s = 2 cm

∴ A side of the square is 2 cm in length

Thus,

r = 2 cm

and

θ = 90°

Then,

$A = \frac{90^\circ}{360^\circ}\times \pi \times 2^{2}$

$A = \frac{1}{4}\times \pi \times4$

$A = \pi \ cm^{2}$ OR 3.14 cm²

Hence, the area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

Learn more on Calculating the area of a sector here: brainly.com/question/3539709

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