AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

In the following figure, ABCD is a trapezium with AB || DC, $A B = 18$ cm, $D C = 32$ cm and distance between AB and DC is 14cm. If arcs of equal radii $7$ cm with centres A, B, C and D have been drawn, then the area of the shaded region of the figure from the following choices is:

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

121 cm 2

135 cm 2

154 cm 2

196 cm 2

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

It is given that,

A B = 18

cm,

D C = 32

cm and distance between AB and DC is 14 cm.
Question Image

Obtain the area of a trapezium.
The area of the trapezium is given by,

A = \frac{1}{2} \times Sum of parallel sides \times Distanca between parallel sides

Here, the distance between the parallel sides is 14 cm.
Substituting the values in the formula, we get,

A = \frac{1}{2} (AB + CD) 14

A = \frac{1}{2} (18 + 32) 14

A = 350 {cm}^{2}

Obtain the area of the circle, we get,

A ′ = π r 2 A ′ = π (7) 2 A ′ = 154 cm 2

Thus, from figure the area of the shaded region is,

A s = A − A ′ A s = 350 − 154 A s = 196 cm 2

The area of the shaded region is

196 cm 2

.
Hence, option 4) is correct.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!