The length of minor arc AB of circle is 1/4 of its circumference then angle subtended by minor arc is? ?

Question

The length of minor arc AB of circle is 1/4 of its circumference then angle subtended by minor arc is? ​?

Answer

Given that
minor arc of circle is 1/4 of of its circumference.

So,
2πr¢/360=1/4×2πr. -----[¢ as theta]

¢πr/180=πr/2
¢/180=1/2
¢=180/2
¢=90

Thank you.. :-)

Answer

Hii

Given That Minor Arc Is 1/4 Of circumference

0/180 * πr = 1/4 * 2πr ( 0 represent theta)

0/180 = 2/4

0 = 2/4 * 180

0 = 90

Hope It's Help u.

Answer

Length of minor arc=1/4( circumference of circle)
or,tetha/360×2Πr=1/4(2Πr)
or, tetha= 360/4=90

Answer

What is the formula of mirror

Answer

The length of minor arc AB of a circle is 1/4 of its circumference.

To find the angle subtended by the minor arc AB, we need to understand the relationship between the length of an arc, the circumference of a circle, and the angle subtended by the arc.

1. Circumference of a Circle:
The circumference of a circle is the distance around its outer edge. It is calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle.

2. Length of an Arc:
The length of an arc is a fraction of the circumference of a circle. It is given by the formula L = (θ/360) × 2πr, where L is the length of the arc and θ is the central angle subtended by the arc.

3. Relationship between Arc Length and Circumference:
The ratio of the length of an arc to the circumference of a circle is equal to the ratio of the central angle subtended by the arc to 360 degrees.

Let's assume the circumference of the circle is C, and the length of the minor arc AB is 1/4 of its circumference. Therefore, the length of AB can be expressed as (1/4)C.

Using the relationship between arc length and circumference, we can set up the following equation:

(1/4)C / C = θ / 360

Simplifying the equation, we get:

1/4 = θ / 360

To find the value of θ, we can cross-multiply and solve for it:

θ = (1/4) * 360
θ = 90 degrees

Therefore, the angle subtended by the minor arc AB is 90 degrees.

Conclusion:
The angle subtended by the minor arc AB of a circle, when its length is 1/4 of the circle's circumference, is 90 degrees.

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