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 answersArea of circle: _____Area of semicircles: _____Area of quarter-circles: _____Total area of pattern: _____Area of semicirclesArea of semicircles = Area of circle = Area of quarter-circles = Total area of pattern Area of quarter-circlesArea of circleTotal area of pattern

Answer:1)Area of circle: 64[tex]\pi[/tex]2)Area of semicircles: 128[tex]\pi[/tex]3)Area of quarter-circles: 128[tex]\pi[/tex]4)Total area of pattern: 320[tex]\pi[/tex]Step-by-step explanation:r = 8cmGiven: 1 circle, 4 semicircles, and 8 quarter-circles.Area of a circle: [tex]\pi r^{2}[/tex]1) A = [tex]\pi r^{2}[/tex] where r = 8A = 64[tex]\pi[/tex]2) 4 semicircles = 2 circlesso the answer is 2*A = 128[tex]\pi[/tex]3) 8 quarter-circles = 2 circlesTherefore, the answer here is the same as the answer for #2!4)There are 5 circles total because:1 circle = 1 circle4 semicircles divided by 2 = 2 circles (because [tex]\frac{1}{2}[/tex] times 4)8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circlesSo ... 1 + 2 + 2 = 5 circlesNow we need to find the area of 5 circles which is just 5*A5*A = 320[tex]\pi[/tex]