Question

Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
=
angle of sector
360
¹) πr²
Sector Area = [?] cm²
Round to four decimal places.
Sector Area
14 cm
46°
14 cm
Enter

Answer 1

Based on the calculations, the area of the whole sector is equal to 4,508 cm².

Given the following data:

• Angle of sector = 46°.

• Radius of circle = 14 cm.

How to calculate the area of a sector?

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = θr²/2

Where:

• r is the radius.

• θ is the central angle.

Substituting the given parameters into the formula, we have;

Area of sector = 46 × 14²/2

Area of sector = 46 × 196/2

Area of sector = 9016/2

Area of sector = 4,508 cm².

Read more on radius here: brainly.com/question/14478195

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