Question

Can I get the answers of these questions

Answer 1

Answer:

Diameter = 2 × radius

Circumference = 2πr   where r = radius

The ratio of Circumference/Diameter will always be equal to 22/7, irrespective of the radius.

Step-by-step explanation:

We have to draw 4 circles of different radius and need to find its diameter, circumference, and ratio of circumference to diameter (C/D).

Diameter = 2 × radius

Circumference = 2πr   where r = radius

Circle 1:

Let's take its radius = 2 cm

So, diameter = 2 × radius = 2 × 2 = 4 cm

Circumference = 2πr = 2 × (22/7) × 2          { Taking π = 22/7 }

= 88/7 cm

Ratio = C/D = (88/7) / 4 = 22/7

∴ Ratio = 22 : 7

Circle 2:

Let's take its radius = 4 cm

So, diameter = 2 × radius = 2 × 4 = 8 cm

Circumference = 2πr = 2 × (22/7) × 4          { Taking π = 22/7 }

= 176/7 cm

Ratio = C/D = (176/7) / 8 = 22/7

∴ Ratio = 22 : 7

Circle 3:

Let's take its radius = 7 cm

So, diameter = 2 × radius = 2 × 7 = 14 cm

Circumference = 2πr = 2 × (22/7) × 7         { Taking π = 22/7 }

= 44 cm

Ratio = C/D = 44/14 = 22/7

∴ Ratio = 22 : 7

Circle 4:

Let's take its radius = 5 cm

So, diameter = 2 × radius = 2 × 5 = 10 cm

Circumference = 2πr = 2 × (22/7) × 5         { Taking π = 22/7 }

= 220/7 cm

Ratio = C/D = (220/7) / 10 = 22/7

∴ Ratio = 22 : 7

So, the ratio of Circumference/Diameter will always be equal to 22/7, irrespective of the radius.