The sum of all the interior angles of a regular-octagon is-360-1080-1440-1260-

The correct option is B 1080^∘ Sum of interior angles of a polygon with n sides = (n 2) × 180° For an octagon, n = 8 Hence the sum of interior angles = (8 2) ...

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Standard VII

Mathematics

Interior Angles of a Polygon

The sum of al...

Question

The sum of all the interior angles of a regular octagon is:

$360^{\circ}$

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$1080^{\circ}$

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$1440^{\circ}$

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$1260^{\circ}$

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Solution

The correct option is B
$1080^{\circ}$

Sum of interior angles of a polygon with n sides = (n-2) $\times$ 180°
For an octagon, n = 8
Hence the sum of interior angles = (8 - 2) $\times$ $180^{\circ}$
= 6 $\times$ $180^{\circ}$
= $1080^{\circ}$

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Similar questions

The sum of all interior angles of a regular polygon is $1080^{\circ}$ . What is the measure of each of its interior angles ?

(a) 135 $^{\circ}$ (b) 120 $^{\circ}$ (c) 156 $^{\circ}$ (d) 144 $^{\circ}$

Q. Fill in the blanks.
(i) Each interior angle of a regular octagon is (.........)°.
(ii) The sum of all interior angles of a regular hexagon is (.........)°.
(iii) Each exterior angle of a regular polygon is 60°. This polygon is a .........
(iv) Each interior angle of a regular polygon is 108°. This polygon is a .........
(v) A pentagon has ......... diagonals.

The sum of all interior angles of a regular polygon is $1080^{\circ}$ . What is the measure of each of its interior angles?
(a) $135^{\circ}$
(b) $120^{\circ}$
(c) $156^{\circ}$
(d) $144^{\circ}$

Q. The sum of all the interior angles of a regular octagon is:

Q. a) What is a regular polygon of

7

sides called?
b) What is the sum of interior angles of a regular octagon?

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The sum of all the interior angles of a regular octagon is:

The correct option is B 1080∘ Sum of interior angles of a polygon with n sides = (n-2) × 180° For an octagon, n = 8 Hence the sum of interior angles = (8 - 2) × 180∘ = 6 × 180∘ = 1080∘

The correct option is B
$1080^{\circ}$

Sum of interior angles of a polygon with n sides = (n-2) $\times$ 180°
For an octagon, n = 8
Hence the sum of interior angles = (8 - 2) $\times$ $180^{\circ}$
= 6 $\times$ $180^{\circ}$
= $1080^{\circ}$