Answer:
Step-by-step explanation:
Given:
Radius of circular mirror, r = 6x
Length of metal frame, l = 18x
Area of square, As = l^2
Area of square = 18x × 18x
= 324 x^2.
Area of circular mirror, Ac = pi × r^2
= π × (6x)^2
= 36π x^2.
The expression for the area of the frame is subtracting the mirror from the metal frame = As - Ac
= 324x^2 - 36πx^2
= 36x2 (9 - π).
Answer:
area of medal frame= [tex]36x^{2} (9-\pi ) sq/units[/tex]
Step-by-step explanation:
area of medal frame=area of square metal frame -area of circular mirror
Length of square= 18x
radius of circular mirror= 6x
let area of square metal frame = L * L= [tex]18x * 18x[/tex] = [tex]324x^{2}[/tex]
let area of circular mirror=[tex]\pi r^{2}[/tex]= [tex]\pi (6x)^{2} \\\pi 36x^{2}[/tex]
area of medal frame= [tex]324x^{2} -\pi 36x^{2}[/tex]
Factorizing the common factor in both expression,
we will have;
area of medal frame= [tex]36x^{2} (9-\pi ) sq/units[/tex]
