Question

In the figure, PQRS is a square of side 14 cm. P,Q,R,S are the centre of circular arcs of equal radius. Find the perimeter of the shaded region​

Answer 1

Given :-

• PQRS is a square of side 14 cm.
• Their are four quadrants in square So half of side is = radius 14/2 = 7cm.

To find :-

• The perimeter of shaded region?

Solution :-

We know that perimeter of square = 4 × side.

→ 4 × side

→ 4 × 14

→ 56 cm.

Perimeter of square = 56 cm.

Now we know that perimeter of circle is equal to its circumference.

→ Circumference circle = 2 × π × r.

• Here radius = 7 cm
• π = 22/7

putting values in formula :-

→ 2 × 22/7 × 7

→ 44 cm.

Now to find the perimeter of shaded region we have to subtract the both perimeters.

→ 56 - 44 = 12 cm.

Answer :- Perimeter of shaded region is equal to 12 cm.

Answer 2

Answer:

The perimeter of shaded region is 12 cm