Question

Find the areas of the sectors formed by UTV.
161.97 square inches
151.97 square inches
150.97 square inches
147.97 square inches
plz ans fast​​

Answer 1

Answer:

you are giving vedantu VMast paper

Answer 2

• The areas of minor sector and major sector is equal to 39.08 inches² and 161.88 inches² respectively .

Given :-

• UT = VT = Radius of circle = 8 inches .
• ∠UTV = Angle at centre = 70°

To Find :- The areas of the sectors formed by UTV ?

Formula used :-

• Area of minor sector = (θ/360°)•πr² = (θ/360°) × Area of circle . { r = radius of circle, θ = angle at centre }
• Area of major sector = Area of circle - Area of minor sector .

Solution :-

given that,

→ Radius of circle = r = 8 inches

So,

→ Area of circle = πr²

→ Area of circle = 3.14 × 8 × 8

→ Area of circle = 200.96 inches² ---- Equation (1)

Then,

→ Area of minor sector = (θ/360°) × Area of circle

putting given value of θ as 70°,

→ Area of minor sector = (70°/360°) × Area of circle

→ Area of minor sector = (7/36) × Area of circle

putting value from Equation (1) in RHS now,

→ Area of minor sector = (7/36) × 200.96

→ Area of minor sector = 39.08 inches² ---- Equation (2)

therefore,

→ Area of major sector = Area of circle - Area of minor sector

subtracting Equation (2) from Equation (1),

→ Area of major sector = 200.96 - 39.08

→ Area of major sector = 161.88 inches²

Hence, areas of minor sector and major sector is equal to 39.08 inches² and 161.88 inches² respectively .

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