Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 3 cm and Θ =

π

4

Question

Jade Acosta

Mathematics

10 December, 19:42

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 3 cm and Θ =

π

4

+4

Answers (1)

Know the Answer?

Maya Blackburn · Answer 1

area = (9/8) π cm²

Step-by-step explanation:

That proportionality gives rise to the area formula ...

A = (1/2) r²Θ

Filling in the given values, we have ...

A = (1/2) (3 cm) ² (π/4) = 9π/8 cm²

The sector area is 9π/8 cm².

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 3 cm and Θ =π4

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 3 cm and Θ =

π

4