wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A trapezium DEFG is circumscribed about a circle that has centre C and radius 2 cm. If DE = 3 cm and the measure of <DEF=<EFG=90°, then find the area of trapezium DEFG

A
18 cm2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
16 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
15 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
20 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 18 cm2

Draw perpendicular from D to GF meeting at X.

Also, let GN = GP = k

Since, DE = XF = 3 cm

NX = 3 – 2 = 1 = DM = DP

Therefore, GX = k – 1

Δ DXG is right angled triangle.

Hence, (k + 1)2 – (k – 1)2 = 42

Hence, k = 4 and so GF = 6 cm

Area of trapezium DEFG = (3+6)/2 * 4 = 18 cm2


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon