Question

the radius of a circle is 14cm &
The radius of a circle is
the area of the sector is 102.7 cm²
Find the central angle of the sector​

Answer 1

GIVEN :-

• Radius of Circle , r = 14 cm.
• Area of sector of Circle = 102.7 cm².

TO FIND :-

• The Central angle of the sector , ϴ.

SOLUTION :-

As we know that, the area of sector of a Circle is given by,

✶ Area of sector = ϴ/360° × πr².

❈ Angle of Sector,

➳ Area of sector = ϴ/360° × πr².

➳ 102.7 = ϴ/360° × 3.14 × (14)²

➳ 102.7 = ϴ/360° × 3.14 × 196

➳ 102.7 = ϴ/360° × 615.44

➳ 102.7 × 360° = ϴ × 615.44

➳ 36972 = ϴ × 615.44

➳ ϴ = 36972/615.44

➳ ϴ = 60.07°.

➳ ϴ ≈ 60°. [Approx]

Hence the Central angle of the sector , ϴ is 60° approx.

Answer 2

Answer:

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Step-by-step explanation:

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