Question

Please solve quickly ​

Answer 1

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

Answer 2

56.1

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