C
7 cm
D
What is the sum of the areas of circle C and circle D?
O 7π units²
O 14π units²
O49π units²
O 98π units²

C 7 cm D What is the sum of the areas of circle C and circle D O 7π units O 14π units O49π units O 98π units class=

Respuesta :

Answer:

[tex]98 \pi \:\: \sf units^2[/tex]

Step-by-step explanation:

[tex]\textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

From inspection of the given diagram, circle C and circle D both have a radius of 7 cm.

Therefore:

[tex]\implies \textsf{Area of circle C}=\pi (7)^2=49 \pi \:\: \sf cm^2[/tex]

[tex]\implies \textsf{Area of circle D}=\pi (7)^2=49 \pi \:\: \sf cm^2[/tex]

Therefore, the sum of the areas of circle and circle D is:

[tex]\implies \textsf{Area of circle C}+\textsf{Area of circle D}=49 \pi + 49 \pi = 98 \pi \:\: \sf cm^2[/tex]

Both the circles have same radius as CD

  • CD=7

Area of one circle

  • πr²

Area of two identical circles

  • 2πr²

Put r=7

  • 2π(7)²
  • 2π(49)
  • 98π units²