Question icon
10 grade maths

Let's divide a circle into 10 equal parts. Then, what is the measure of each central angle?

  • (a) 18°
  • (b) 72°
  • (c) 36°
  • (d) 30°

Profile image of Aniket Singh
10 Months agoGrade
Answers icon

1 Answer

Profile image of Askiitians Tutor Team
ApprovedApproved Tutor Answer10 Months ago

To find the measure of each central angle when a circle is divided into 10 equal parts, you can use the formula:

Calculating the Central Angle

The total angle in a circle is 360 degrees. To determine the angle for each part, divide 360 by the number of parts:

  • Number of parts: 10
  • Calculation: 360° ÷ 10 = 36°

Final Answer

Each central angle measures 36°. Therefore, the correct option is (c) 36°.