Find the length of the arc whose central angle is 45
∘
and the radius of the circle is 28cm. (Take π=
7
22
)
- A11cm
- B33cm
- C44cm
- D22cm
Solution & Step-by-step Explanation
The formula for the length of an arc of a circle with radius r and central angle θ is:
Arc Length=
360
∘
θ
×2πr
Given:
θ=45
∘
r=28cm
Substituting the values into the formula:
Arc Length=
360
∘
45
∘
×2×
7
22
×28
Arc Length=
8
1
×2×22×4
Arc Length=
8
1
×176=22cm
Arc Length=
360
∘
θ
×2πr
Given:
θ=45
∘
r=28cm
Substituting the values into the formula:
Arc Length=
360
∘
45
∘
×2×
7
22
×28
Arc Length=
8
1
×2×22×4
Arc Length=
8
1
×176=22cm