Question

Five circles are inscribed in a rectangle as in the figure. The width of the rectangle is 8 cm. Then the area of
shaded region is:


A)60(4-π)cm^2
B)60(6-π)cm^2
C)80(6-π)cm^2
D)80(4-π)cm^2




Pls answer fast!!!​

Answer 1

qυєsтIση :-

• Five circles are inscribed in a rectangle as in the figure. The width of the rectangle is 8 cm. Then the area of
• shaded region is:
• A)60(4-π)cm²
• B)60(6-π)cm²
• C)80(6-π)cm²
• D)80(4-π)cm²

αηsωєя :-

given :-

• width of rectangle = 8 cm

to find :-

• area of shaded region

solution :-

for rectangle :-

• breadth = 8 cm
• length = 5 × 8 cm = 40 cm

• area of rectangle = l × b = (40 × 8) cm² = 320 cm²

for a circle :-

• diameter = 8 cm
• radius = 4 cm

• area of one circle = π r² = π (4)² = 16 π cm²

for 5 circles :-

• area of five circles = 5 (16 π) cm² = 80 π cm²
• area of shaded region = area of rectangle - area of five circles
• area of shaded region = (320 - 80 π ) cm² =80(4 - π) cm²

• area of shaded region = 80 (4 - π) cm²
• D) 80( 4 - π) cm²

Answer 2

Answer:

one circle diameter is 8 cm

Step-by-step explanation:

area of five circle

$5\pi \: {r}^{2}$

$5 \times 3.14 \times {4}^{2}$

$5 \times \pi \times 16 = 80\pi$

rectangle length is five times of width

$l \times b = 5(8) \times 8$

$40 \times 8 = 320$

shade region areas

$area \: of \: rectangle \: - five \: circle \: area = 320 - 80\pi$

$80(4 - \pi) c {m}^{2}$

that's is your answer

d) option is correct