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Answer :

TPS95GO

Step-by-step explanation:

Area of a circle = πr^2

Area of a sector with angle x° = (x/360) πr^2

Just use that formula:

x = 81°

r = 8.91 cm

Required area of sector = (81/360) × π × 8.91^2 = 56.116 cm^2

To the nearest tenth, Area = 56.1 cm^2

SENORMATHWIZGO

Answer:

56.1

Step-by-step explanation:

Area of sector =  (Ф/360)πr²

where r = radius and Ф = central angle

It appears that the radius is 8.91 and the central angle is 81°

So we have Area = (Ф/360)πr² and r = 8.91 and Ф = 81

==> plug in values

area = (81/360)π(8.91)²

==> evaluate the exponent

area = (81/360)π79.3881

==> multiply 79.3881 and π

area = (81/360)249.41

==> multiply 249.41 and (81/360)

area = 56.1

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