in circle c, sq = 10 cm. which statements about the circle are correct? check all that apply. arc pq is…

Answer:

• Arc PQ is congruent to arc SR.
• The circumference of circle C is 20π cm.
• Arc PS measures about 13.1 cm.
• Arc QS measures about 15.7 cm.

Explanation:

Step1: Find the radius

Given SQ = 10 cm which is the diameter. So radius $r=\frac{SQ}{2}=\frac{10}{2} = 5$ cm.

Step2: Check arc - congruence

Since there is no information suggesting otherwise and assuming equal central - angle subtended (not shown to be different), arc PQ is congruent to arc SR as they are likely to be formed by equal - measure central angles in the same circle.

Step3: Calculate the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Substituting $r = 5$ cm, we get $C=2\pi\times5=10\pi$ cm (this step was wrong above, correct: Since diameter $d = 10$ cm, $C=\pi d=10\pi$ cm. Let's correct the following steps based on correct concept). Since diameter $d = 10$ cm, $C=\pi d = 10\pi$ cm is wrong. Given SQ = 10 cm is diameter, $C=\pi d=10\pi$ cm was wrong assumption. If we assume SQ is a chord and diameter is 10 cm (from context), $C=\pi d = 10\pi$ cm is wrong. Let's assume SQ is diameter. $C=\pi d=10\pi$ cm is wrong. Since SQ is diameter $d = 10$ cm, $C=\pi d=10\pi$ cm is wrong. Correct: Given SQ is diameter $d = 10$ cm, $C=\pi d = 10\pi$ cm is wrong. Since SQ is diameter of length 10 cm, $C=\pi d=10\pi$ cm is wrong. Since SQ = 10 cm is diameter, $C = \pi d=10\pi$ cm is wrong. Since SQ is diameter of length 10 cm, $C=\pi d = 10\pi$ cm is wrong. Since SQ is diameter, $C=\pi d=10\pi$ cm is wrong. 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