Multiple choice

There circle of radius 3.5cm are placed in such away that each circle touches the other two the area of the portion enclosed by the circle is-

  1. 1 cm3

  2. 2 cm3

  3. 3 cm3

  4. 4 cm3

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Three circles of radius 3.5cm, each touching the other two, form an equilateral triangle of centers with side 7cm. The enclosed area is triangle minus three sectors. Triangle area = (√3/4)×7² ≈ 21.22cm². Three 60° sectors = half circle = 0.5×π×3.5² ≈ 19.25cm². Enclosed area ≈ 21.22 - 19.25 ≈ 2cm³ (should be cm², not cm³).