Question

Area of a sector of a circle of radius 36cm is 54π cm2. Find the central angle subtended by the arc of the sector.

Answer 1

Answer:

The length of Arc = 3 π cm.

Step-by-step explanation:

Given that:

Area of sector of circle = 54π cm^2

Radius of circle = 36 cm

To find:

The length of arc ?

Solution:

Finding area of circle:

Area of circle = πr^2

Area of circle = π(36)^2

Area of circle = 1296π cm^2

Finding fraction of the sector:

Sector = 54π / 1296π = 1/24

Now, finding the length of the arc of the sector:

Length of Arc = 1/24 × 2πr

Length of the Arc = 1/24 × 2π (36) = 3πcm.

Answer:

The length of Arc = 3 π cm.

Used Formula:

• Area of circle = πr^2.

Answer 2

Answer:

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Step-by-step explanation:

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