Multiple choice

One chord of a circle is known to be 14 cm. what is the Area of a circle if length of perpendicular to chord from the centre of circle is 5 cm. एक वृत्त की जीवा की लम्बाई 14 सेमी. है और उसके केन्द्र और जीवा की लम्बवत दूरी 5 सेमी. है तो वृत्त का क्षेत्रफल क्या होगा ?

  1. 84π

  2. 74π

  3. 75π

  4. 85π
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using chord property: The perpendicular from the center to a chord bisects it. Half-chord = 7 cm. In right triangle: r² = 5² + 7² = 25 + 49 = 74. Area = πr² = π × 74 = 74π. (Note: The radius is √74 cm, approximately 8.6 cm, which gives area 74π sq.cm ≈ 232.5 sq.cm).

Keep practicing — related questions