Here are the answers to your worksheet, broken down by section.
Section 1: Measuring Angles in Circles
Rule: A full circle is $360^{\circ}$. We need to find the size of the shaded part.
*
a) The circle is cut into
2 equal parts.
* Calculation: $360 \div 2 = 180$.
* Type: An angle of exactly $180^{\circ}$ is a
straight angle.
*
b) The circle is cut into
4 equal parts, and
1 is shaded.
* Calculation: $360 \div 4 = 90$.
* Type: An angle of exactly $90^{\circ}$ is a
right angle.
*
c) The circle is cut into
4 equal parts, and
3 are shaded.
* Calculation: $90 + 90 + 90 = 270$ (or $360 - 90 = 270$).
* Type: An angle bigger than $180^{\circ}$ but less than $360^{\circ}$ is a
reflex angle.
*
d) The circle is cut into
4 equal parts, and
2 are shaded (which makes half a circle).
* Calculation: $90 + 90 = 180$.
* Type: This is a
straight angle.
---
Section 2: Drawing Clock Turns
*
a) A clockwise $180^{\circ}$ turn:
* Start at
12.
* A $180^{\circ}$ turn means going halfway around the circle.
* Opposite of 12 is
6.
*
Action: Draw the minute hand pointing straight down at the
6.
*
b) An anti-clockwise $90^{\circ}$ turn:
* Start at
12.
* "Anti-clockwise" means going backwards (to the left).
* A $90^{\circ}$ turn is one-quarter of the circle.
* Going back from 12 leads to
9.
*
Action: Draw the minute hand pointing straight left at the
9.
---
Section 3: Compass Directions
*
a) $180^{\circ}$ clockwise turn from E (East):
* Face East.
* Turn $180^{\circ}$ (halfway around).
* You will be facing the opposite direction. Opposite of East is West.
*
Answer: W (West)
*
b) $270^{\circ}$ anti-clockwise turn from W (West):
* Face West.
* Turn Left (anti-clockwise).
* West $\rightarrow$ South ($90^{\circ}$)
* South $\rightarrow$ East ($180^{\circ}$)
* East $\rightarrow$ North ($270^{\circ}$)
*
Answer: N (North)
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Final Answer:
1. Angles:
a)
180°,
straight angle
b)
90°,
right angle
c)
270°,
reflex angle
d)
180°,
straight angle
2. Clocks:
a) Draw the hand pointing at
6.
b) Draw the hand pointing at
9.
3. Directions:
a)
W (West)
b)
N (North)
Parent Tip: Review the logic above to help your child master the concept of angles worksheet 4th grade.