Question

find the center angel and area of a palm leaf fan (sector) of radius 10.5 cm whose perimeter is 43 cm .{22/7}​

Answer 1

Answer:

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Answer 2

Answer:

PERIMETER : The length of the boundary of the figure.

GIVEN:

Radius of a Sector of a circle= OA = OB= 10.5 cm

Central angle (θ) = 60°

If the radius of a circle is r and length of the arc is l, then

Length of the arc(AB), (l) = (θ /180) × πr

l = (60/180) × (22/7) × 10.5

l =( ⅓) × 22 × 1.5

l = 22 × .5 = 11 cm

PERIMETER OF THE SECTOR = length of the Arc(AB) + OA +OB

Perimeter of the Sector = 11 +10.5 + 10.5

= 11 + 21

= 32 cm.

Hence, the Perimeter of the Sector is 32 cm.

Step-by-step explanation:

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