11. Sınıf Çember ve Daire Çalışma Soruları

1) O çeyrek çember merkezi, $[BC] \perp [AO]$, $|AC| = 2$ br, $|OC| = 8$ br. Yukarıdaki verilere göre, $|BC| = x$ kaçtır?

2) O çember merkezi, $[AB]$ kiriş, $|AC| = 4$ br, $|BC| = 6$ br, $|OC| = 5$ br. Yukarıdaki verilere göre, çemberin yarıçapı kaç birimdir?

3) $[AB]$ çaplı yarım çemberde, $[EF] \perp [CD]$, $[EF] \perp [AB]$, $|EC| = 5$, $|ED| = 8$, $|AF| = 6$. Yukarıdaki verilere göre, $|FB| = x$ kaç birimdir?

5) $[AB]$ çaplı yarım çemberde, $m(\widehat{DCB}) = 45^\circ$, $|DC| = 6\sqrt{2}$, $|BC| = 9$ br. Yukarıdaki verilere göre, $|AC| = x$ kaç birimdir?

6) O çeyrek çemberin merkezi, $[CD] \perp [BO]$, $|BC| = 4$ br, $|CO| = 2$ br. Yukarıdaki verilere göre, $|BD| = x$ kaç birimdir?

7) O çember merkezi, $m(\widehat{ABO}) = 15^\circ$, $m(\widehat{BOC}) = 110^\circ$. Yukarıdaki verilere göre, $m(\widehat{ACO}) = x$ kaç derecedir?

Soruda görsel içerik var: A worksheet containing 6 separate geometry diagrams. Question 1: A quarter circle with center O, radius OA. A horizontal segment BC is perpendicular to AO. AO is divided into AC=2 and CO=8. BC is labeled x. Question 2: A full circle with center O. A chord AB is drawn. A point C on AB is connected to O. Given AC=4, BC=6, OC=5. Question 3: A semicircle with diameter AB. A chord CD is parallel to AB. A perpendicular EF is dropped from CD to AB. Given EC=5, ED=8, AF=6, FB=x. Question 5: A semicircle with diameter AB. A segment CD is drawn from a point C on the diameter to a point D on the arc. Angle DCB is 45 degrees, CD length is 6√2, BC=9, AC=x. Question 6: A quarter circle with center O. Radius OB is vertical. A horizontal segment CD is perpendicular to OB. Given BC=4, CO=2. Segment BD is labeled x. Question 7: A full circle with center O. Points A, B, C are on the circle forming triangle ABC. Central angle BOC is 110 degrees. Angle ABO is 15 degrees. Angle ACO is labeled x.