MATH SOLVE

4 months ago

Q:
# From a parllellogram having 14cm base and 15cm height a circle of radius 7cm out what is the area of the remaining portion

Accepted Solution

A:

Answer:The area of the remaining portion is 56 sq cm.Step-by-step explanation:The base of the parallelogram is 14 cm.The height of the parallelogram is 15 cmNow, the Area of the parallelogram = Base x Height Area of the parallelogram = 14 cm x 15 cm = 210 sq cm Now, radius of the cut out circle= 7 cm So, Area of the circle = [tex]\pi r^{2} = \pi (7)^{2} = \frac{22}{7} \times 7 \times 7 = 154 sq cm[/tex] So, the area of the cut out circle = 154 sq cmNow, the left out area = Area of the parallelogram - Area of the circle= 210 sq cm - 154 sq cm = 56 sq cmHence, the area of the remaining portion is 56 sq cm.