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
