Question
page 24 of 24 Angles Inside a Circle Quick Check 3 of 53 of 5 Items Question The hands of a clock read 3:00 p.m. What is the measure of the intercepted arc formed by the clock’s hands?(1 point) Responses 45° 45° 90° 90° 180° 180° 270° 270° Skip to navigation
Answers
GPT-4o mini
At 3:00 p.m., the minute hand points at the 12, and the hour hand points at the 3 on the clock. The angle formed between the two hands represents the intercepted arc.
A clock is a circle divided into 12 hours, and each hour represents a 30-degree segment (360° divided by 12 hours). Therefore, the angle between 12 and 3 is:
\(3 \text{ hours} × 30°/\text{hour} = 90°.\)
So, the measure of the intercepted arc formed by the clock’s hands at 3:00 p.m. is **90°**.
A clock is a circle divided into 12 hours, and each hour represents a 30-degree segment (360° divided by 12 hours). Therefore, the angle between 12 and 3 is:
\(3 \text{ hours} × 30°/\text{hour} = 90°.\)
So, the measure of the intercepted arc formed by the clock’s hands at 3:00 p.m. is **90°**.