Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
Sector Area =
¹) πr²²

angle of sector
360
Sector Area = [? ] cm²
Round to four decimal places.
14 cm
46°
14 cm

Follow the steps to find the area of the shaded region First use the formula below to find the area of the whole sector Sector Area πr ㅠ angle of sector 360 Sec class=

Respuesta :

The area of the shaded region is: 8.2cm².

Area of shaded region

Given:

Angle of sector = 46°

Radius of circle = 14 cm

Hence:

Area of sector =  46°/360° π (14)²

Area of sector =78.6794 cm²

Area of shaded region=78.6794 cm²-1/2×14×14×sin46°

Area of shaded region=8.18cm²

Area of shaded region=8.2cm² (Approximately)

Therefore the area of the shaded region is: 8.2cm².

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