Explanation

The sum of the interior angles of a polygon can be calculated using the formula:

(n-2) × 180°, where n is the number of sides.

For a hexagon, n = 6.

Sum of interior angles = (6-2) × 180°

= 4 × 180°

= 720°

Last verified on 07-10-2026

Explanation

• An acute angle measures more than 0° but less than 90°.
• Since 60° is less than 90°, it is an acute angle.

Additional information:

• A right angle measures exactly 90°.
• An obtuse angle measures more than 90° but less than 180°.

Last verified on 07-10-2026

Explanation

At 3:00, the minute hand is at 12 and the hour hand is at 3.

The angle between them is 90° (a right angle).

Last verified on 07-09-2026

Explanation

Old diameter = D

New diameter = D + 50% of D = 1.5 D

So new radius = 1.5 r

Area = pi _ r^2

Old area = pi _ r^2

New area = pi _ (1.5 r)^2 = pi _ 2.25 _ r^2 = 2.25 _ old area

Increase = 2.25 - 1 = 1.25 = 125%

Last verified on 07-10-2026

Explanation

Circumference formula: C = π × d

18π = π × d

d = 18

Last verified on 06-10-2026

Explanation

• An octagon has 8 sides. ⬡
• Interior Angle Sum: 1,080°
• Regular Octagon: All 8 sides and angles are equal.
• Each Interior Angle: 135°
• Example: Stop sign

Explanation

Circumference = πd = 3.14 × 5.3 ≈ 16.64 cm.

Depth = 6 m = 600 cm.

Number of turns = 600 ÷ 16.64 ≈ 36 turns.

Last verified on 04-10-2026

Explanation

Given:

2/5, 1/3

For the LCM of fractions:

LCM = LCM of numerators/ HFC of denominators

• LCM of 2 and 1 = 2
• HCF of 5 and 3 = 1

Therefore:

LCM=1/2​=2​

Explanation

5- 23/9 - 12/7

LCM of 9 and 7 =63

5 = 315/63, 23/9 

= 161/63, 12/7

= 108/63

=46/63

Explanation

Given:

• Length (L) = 15
• Width (W) = 4

Perimeter formula:

P = 2(L+W)

Put the values:

P= 2(15 +4)

P= 2 X19

$$P = 2 times 19$$ P=38​