Question

*What is the relation between l, r and θ?*

1️⃣ θ = r l
2️⃣ r = l θ
3️⃣ l = r θ
4️⃣ None of these

Answer 1

Answer:

option 3

Step-by-step explanation:

l = arc length

Theta must be in radians

Answer 2

Given :- What is the relation between l, r and θ ?

1️⃣ θ = r l

2️⃣ r = l θ

3️⃣ l = r θ

4️⃣ None of these

Solution :-

Let us assume that,

• Angle at centre is θ ° .
• Radius = r unit .
• Length of arc = l

so,

→ Length of arc = (Angle at centre/360°) * circumference of circle .

→ l = (θ/360) * 2πr

→ l = (θ/180) * πr

→ l = θ * (π/180) * r

now, we know that,

→ 180° = π radian .

then,

→ π/180° = 1 .

therefore,

→ l = θ * r

or,

→ l = r θ (Option 3) (Ans.)

[ Here, θ will be in radian .]

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