Area and Perimeter practice question for Railways, SSC. Review the correct answer and explanation, then continue with related practice below.
The area of an equilateral triangle is 144√3 cm². A circle is inscribed in it. Find the area of the circle.
एक समबाहु त्रिभुज का क्षेत्रफल 144√3 cm² है।
उसके अंदर एक वृत्त अंकित है।
वृत्त का क्षेत्रफल ज्ञात कीजिए।
Answer and explanation are free to read — no sign-in required.उत्तर और व्याख्या पढ़ने के लिए साइन-इन आवश्यक नहीं है।
Correct Answerसही उत्तर
B. 48π cm²B. 48π सेमी²
Explanationव्याख्या
√3
4 × a² = 144√3 ⇒ a² = 576 ⇒ a = 24 cm.
Inradius of an equilateral triangle = a√3
6 = 4√3 cm.
Circle area = π(4√3)² = 48π cm².
√3
4 × a² = 144√3 ⇒ a = 24 सेमी।
अंतःत्रिज्या = a√3
6 = 4√3 सेमी।
वृत्त का क्षेत्रफल = π(4√3)² = 48π सेमी²। ---
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