A circle was divided in ratio 2:3:5.find the size of the biggest angle.
2 + 3 + 5 = 10 ... 5/10 = 1/2 ... half a circle is ?º
2x + 3x + 5x = 360,
X = 36o.
5x = 5 * 36 = 180o. = The biggest angle.
180°
I'm intelligent
The biggest angle is 5
Quarter of a circle is 90°
Therefore 90°*5 =450
2+3+5=10×5=50
2+3+5
2+3+5
= 10
This means the circle is divided into 10 equal parts, where one part makes up an angle in the circle.
To find the size of the biggest angle, we need to determine how many parts are assigned to it. Since the circle is divided into 2:3:5, we can assign:
- 2 parts to the smallest angle
- 3 parts to the middle angle
- 5 parts to the biggest angle
The sum of these parts is equal to 2+3+5=10, which confirms we have assigned all the parts correctly.
Now, we can find the size of one part by dividing the total angle in the circle by the number of parts:
360° / 10 = 36°
Finally, to find the size of the biggest angle, we multiply the number of parts assigned to it by the size of one part:
5 * 36° = 180°
Therefore, the size of the biggest angle in the circle is 180°.