From a circular card sheet radius 3.5cm and a rectangle of length of 3 cm and breadth 1cm are removed . find the area of the remaining sheet . (take π 22/7) .as shown in the adjoining figure .
Answers
Step-by-step explanation:
according according to the question,
area of circle πr². value of Pi 22/7
therefore,
there is two circle inside the circular card sheet that means,
22/7×3.5×3.5= 38.5+38.5 = 77cm² [because there is two circle inside the circular card sheet ]
therefore,
area of rectangle= length ×breath
therefore,
3cm× 1cm= 3cm²
now,
total area covered by circle and rectangle is
=. 77cm²+3cm²
= 80cm²
therefore,
now we don't find the area of the remaining sheet because there is no radius of circular cardboard
Remaining area = Area of larger circle-2×area of smaller circles-area of triangle
Area of larger circle = 22/7 × 14×14 = 616cm²
Area of smaller circle =22/7×3.5×3.5 =38.5cm²
Area of rectangle =l×b=3×1=3cm²
Therefore,
Remaining area =616cm²-2×38.5cm²-3cm²=536cm²
Remaining area is 536cm²