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T1 (Find the area of the circle with diameter 7 cm.)​

Sagot :

Answer:

The area of the circle is 38.5 cm²

Step-by-step explanation:

The rule of the area of a circle is A = π r², where

  • r is the radius of the circle
  • The radius of the circle is half the diameter of the circle r = [tex]\frac{1}{2}[/tex] d

Let us solve the question

∵ The diameter of the circle is 7 cm

d = 7 cm

∵ r = [tex]\frac{1}{2}[/tex] d

→ Substitute d by 7

∴ r = [tex]\frac{1}{2}[/tex] (7)

r = 3.5 cm

→ Substitute the value of r in the rule of the area above

A = π (3.5)²

∴ A = 12.25π

π = [tex]\frac{22}{7}[/tex]

∴ A = 12.25 ( [tex]\frac{22}{7}[/tex] )

A = 38.5 cm²

The area of the circle is 38.5 cm²