1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VII
Mathematics
Area of Mixed Shapes
Find the area...
Question
Find the area of the figure, if the diameter BC is 14 cm and AD = 16 cm.
A
56
c
m
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
77
c
m
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
112
c
m
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
189
c
m
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
189
c
m
2
Given
BC = diameter = 14 cm
Hence
Radius =
d
i
a
m
e
t
e
r
2
=
14
2
= 7 cm
Area of given figure
= Area of
△
ABC + Area of semicircle
Area of
△
ABC
=
1
2
×
b
a
s
e
×
h
e
i
g
h
t
=
1
2
×
B
C
×
A
D
=
1
2
×
14
×
16
=
7
×
16
=
112
c
m
2
Area of semicircle
=
1
2
×
π
r
2
=
1
2
×
22
7
×
R
a
d
i
u
s
2
=
1
2
×
22
7
×
7
2
=
1
2
×
22
7
×
49
=
11
×
7
=
77
c
m
2
Therefore, area of the given figure
= 112
c
m
2
+ 77
c
m
2
= 189
c
m
2
Suggest Corrections
0
Similar questions
Q.
Find the area of given figure, if the diameter BC is 14 cm and AD = 16 cm.
Q.
In the given figure, DE || BC
(i) If DE = 4 cm, BC = 6 cm and Area (∆ADE) = 16 cm
2
, find the area of ∆ABC.
(ii) If DE = 4 cm, BC = 8 cm and Area (∆ADE) = 25 cm
2
, find the area of ∆ABC.
(iii) If DE : BC = 3 : 5. Calculate the ratio of the areas of ∆ADE and the trapezium BCED.