Answer:
Area of ring = 462 cm²
Perimeter of ring = 44 cm
Step-by-step explanation:
Given,
radius of inner ring = 7 cm
radius of outer ring = 14 cm
To find,
Area and perimeter of ring
Formula:
Area of circle = π Radius²
Perimeter of circle = 2π Radius
Area of inner ring = π Radius²
⇒ [tex]\frac{22}{7}[/tex] × [tex]7^{2}[/tex]
⇒ 22 × 7
⇒ 154 cm²
Area of outer ring = π Radius²
⇒ [tex]\frac{22}{7}[/tex] × [tex]14^{2}[/tex]
⇒ 22 × 14 × 2
⇒ 616 cm²
∴ Area of ring = 616 - 154 = 462 cm²
Perimeter of inner ring = 2π Radius
⇒ 2 × [tex]\frac{22}{7}[/tex] × 7
⇒ 44 cm
Perimeter of outer ring = 2π Radius
⇒ 2 × [tex]\frac{22}{7}[/tex] × 14
⇒ 88 cm
∴ Perimeter of ring = 88 - 44 = 44 cm