Solve the word problem. round your final result to the nearest hundredth.

a pattern for miata’s new carpet design contains circles, semicircles, and quarter-circles. all circular shapes have a radius of 8 cm. what is the area of a pattern that contains 1 circle, 4 semicircles, and 8 quarter-circles? there should be four answers

area of circle:
area of semicircles:
area of quarter-circles:
total area of pattern:

area of semicircles

area of semicircles =

area of circle =

area of quarter-circles =

total area of pattern

area of quarter-circles

area of circle

total area of pattern

1)Area of circle: 64

2)Area of semicircles: 128

3)Area of quarter-circles: 128

4)Total area of pattern: 320

Step-by-step explanation:

r = 8cm

Given: 1 circle, 4 semicircles, and 8 quarter-circles.

Area of a circle:

1) A = where r = 8

A = 64

2) 4 semicircles = 2 circles

so the answer is 2*A = 128

3) 8 quarter-circles = 2 circles

Therefore, the answer here is the same as the answer for #2!

4)There are 5 circles total because:

1 circle = 1 circle

4 semicircles divided by 2 = 2 circles (because times 4)

8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circles

So ... 1 + 2 + 2 = 5 circles

Now we need to find the area of 5 circles which is just 5*A

5*A = 320

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step-by-step explanation: