Question

if a circle is divided into eight equal parts find the angle subtended by each arc at the centre

Answer 1

Step-by-step explanation:

This is the answer. Attachment is in above.

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Answer 2

Given:

If a Circle is divided into eight parts

To Find:

Find the angle theta subtended by each arc at the centre of the given circle.

Solution:

It is given that the circle is divided into eight parts so it will create 8 arcs in the circumference of the given circle and each arc will subtend some angle which is equal at the centre of the given circle.

As we know that the total angle $\theta_{T}$ at the centre of the circle is 360 degrees

Now finding the value of each angle subtended arc

$\angle arc=\frac{360^{\circ}}{8}\\=45^{\circ}$

Hence, the angle formed by each arc at the centre of the given circle will be 45 degrees.

Note:

• An arc is a part of the circumference of the circle that subtends some angle in the centre and it can be of two types Major arc and Minor arc. The major arc is basically the larger part of the circumference and the minor arc is the smaller part of the circumference.
• The total at the centre of the circle is always 360 degrees or 2pi radian.