7. From a circular sheet of radius 4cm. A circle of radius 3cm is cut out. Calculate the area of the remaining sheet after
the smaller circle is removed.
Answers
Answered by
4
Answer:
2 cm
Step-by-step explanation:
first 4-3=2
4cm-3cm=2cm
Answered by
40
✰ Gɪᴠᴇɴ :-
- Radius (R) of large circle = 4 cm
- Radius (r) of small circle = 3 cm
✰ ᴛᴏ ғɪɴᴅ :-
- Area remaining after the smaller circle is removed from large circle
✰ sᴏʟᴜᴛɪᴏɴ :-
We know that,
➦ Area of Circle = πr²
So,
➠ Area of large Circle = πR²
➠ πR² = π(4)²= 16π
➠ Area of small circle = πr²
➠ πr² = π(3)² = 9π
Now,
➦ Area of remaining sheet = Area of Large Circle - Area of small circle
So,
➭ Area of remaining sheet = 16π - 9π = 7π
➭ Area of remaining sheet = 7 × 22/7 = 22 cm²
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