Muntazam ko‘pburchakning tomoni bilan tashqi va ichki chizilgan aylanalar radiuslari orasidagi bog‘lanish — 9-sinf Geometriya test savollari

1.Muntazam ko‘pburchakning tomoni a, tashqi chizilgan aylana radiusi R. To‘g‘ri formulani ko‘rsating.

• A)a = R·sin(180°/n)
• B)a = 2R·tan(180°/n)
• C)a = 2R·sin(180°/n)
• D)a = 2R·cos(180°/n)

2.Muntazam ko‘pburchakning tomoni a, ichki chizilgan aylana radiusi r. To‘g‘ri formulani ko‘rsating.

• A)a = 2r·tan(180°/n)
• B)a = 2r·cos(180°/n)
• C)a = 2r·sin(180°/n)
• D)a = r·tan(180°/n)

3.Muntazam ko‘pburchakning ichki (r) va tashqi (R) chizilgan aylana radiuslari orasidagi bog‘lanishni ko‘rsating.

• A)r = R·tan(180°/n)
• B)r = R·cos(180°/n)
• C)r = R·sin(180°/n)
• D)r = 2R·cos(180°/n)

4.Muntazam uchburchakning ichki chizilgan aylana radiusi r = 4 sm. Uning tomonini toping (a = 2r√3).

• A)4√3 sm
• B)8 sm
• C)4 sm
• D)8√3 sm

5.Kvadratning tashqi chizilgan aylana radiusi R = 6√2 sm. Tomonini toping (a = R√2).

• A)12 sm
• B)6√2 sm
• C)6 sm
• D)24 sm

6.Muntazam oltiburchakning tashqi chizilgan aylana radiusi R = 9 sm. Ichki chizilgan aylana radiusini toping (r = R√$\frac{3}{2}$).

• A)9√3 sm
• B)9 sm
• C)4,5√3 sm
• D)4,5 sm

7.Kvadratning ichki chizilgan aylana radiusi r = 7 sm. Tashqi chizilgan aylana radiusini toping (R = r√2).

• A)7√3 sm
• B)14 sm
• C)7√2 sm
• D)7 sm

8.Muntazam uchburchakning tashqi chizilgan aylana radiusi R = 12 sm. Ichki chizilgan aylana radiusini toping $\left(r=\frac{R}{2}\right)$.

• A)6 sm
• B)12 sm
• C)4 sm
• D)6√3 sm

9.Kvadratning tomoni a = 8√2 sm. Tashqi chizilgan aylana radiusini toping (R = a/√2).

• A)4√2 sm
• B)8√2 sm
• C)8 sm
• D)16 sm

10.Muntazam oltiburchakning ichki chizilgan aylana radiusi r = 6√3 sm. Tashqi chizilgan aylana radiusini toping (R = 2r/√3).

• A)6√3 sm
• B)12 sm
• C)6 sm
• D)18 sm