Question

A sector has an are length of 3,2 cm and subtends an angle of 0,785rad Calculate the following: 6.3.1 The radius of the sector in cm. 6.3.2 The area of the sector in cm²

Answer 1

The radius of the sector is approximately 4.08 cm. The area of the sector is approximately 8.32 cm².

Step-by-step explanation:

To find the radius of the sector, we can use the formula:

radius = arc length / angle

Plugging in the values, we get:

radius = 3.2 cm / 0.785 rad

radius ≈ 4.08 cm

To find the area of the sector, we can use the formula:

area = (angle / 2π) * π * radius²

Plugging in the values, we get:

area = (0.785 rad / 2π) * π * (4.08 cm)²

area ≈ 8.32 cm²