Ответ:
Doira yuzining formulasi:
\( A = \pi r^2 \).Shuningdek, radius diametrning yarimiga teng: \( r = \frac{d}{2} \). Shuning uchun yuz formulasi diametr orqali quyidagicha yozilishi mumkin:
\( A = \pi \left(\frac{d}{2}\right)^2 = \frac{\pi d^2}{4} \),bu yerda \( A \) — doira yuzi, \( \pi \) — son, \( d \) — diametr.
Berilgan:
- Diametr \( d = 14 \) sm.
Hisoblash:
\( A = \frac{\pi (14 \text{ sm})^2}{4} \)
\( A = \frac{\pi \cdot 196 \text{ sm}^2}{4} \)
\( A = 49\pi \text{ sm}^2 \)
Ответ: Doira yuzi \( 49\pi \text{ sm}^2 \).
