ABCD is a trapezium with AB parallel to CD AB=18cm, DC=32cm and distance between AB and DC=14cm If - Maths - Areas Related to Circles

Question

ABCD is a trapezium with AB parallel to CD AB=18cm, DC=32cm and
distance between AB and DC=14cm If arcs of equal radii 7cm with
centres A,B,C and D have been drawn, then find the remaining area i
e area exuding the circular region

Aakash Sharma · Accepted Answer

Given: In trapezium ABCD AB â•‘ CD AB = 18 cm, DC = 32 cm and distance between AB and DC = 14 cm $\Rightarrow Area of trapezium ABCD = \frac{1}{2} (32 cm + 18 cm) 14 cm = 50 \times 7 {cm}^{2} = 350 {cm}^{2}$ Now circles are drawn of radii 7 cm from A, B, C, D We know that sum of all angles of a trapezium = 360Â° â‡’area circle inside trapezium with centre ABCD = area of circle with 7 cm = Ï€ Ã— (7 cm)2 $= \frac{22}{7} \times 49 {cm}^{2} = 154 {cm}^{2}$ Hence remaining area = 350 cm2 â€“ 154 cm2 = 196 cm2

ABCD is a trapezium with AB parallel to CD. AB=18cm, DC=32cm and distance between AB and DC=14cm. If arcs of equal radii 7cm with centres A,B,C and D have been drawn, then find the remaining area i.e. area exuding the circular region