A one is a closed shape developed by tracing a suggest that moves in a airplane such the its street from a given suggest is constant. Words circle is derived from the Greek word kirkos, an interpretation hoop or ring. In this article, us cover the essential terms related to circles, your properties, and various circle formulas.

You are watching: Center of a circle is called

In the diagram provided above, O is the center of the circle. If OB = 5 cm and ∠ABC = 300 climate what the length of the arc AC?

5π/65π/35π/25π10πSolution**Step 1: Given**

**Step 2: to find**

**Step 3: Approach and Working out**

To find the length of the arc, we require the worth of 2 variable, the facility angle made by the arc and also the radius.

We are already given radius together OB = 5cmWe need to discover the ∠AOCOn visualizing the diagram, the inscribed angle by the arc AC is ∠ABC, and also the facility angle by arc AC is ∠AOC.

Hence, we can use the home that the angle made at the center by one arc is double the inscribed angle created by the exact same arc.Thus, ∠AOC = 2 × ∠ABC = 2 × 30° = 60°Now, we know the central angle formed by the arc together well.

See more: What Type Of Bond Is Cacl2 A Covalent Bond? Is Cacl2 (Calcium Chloride) Ionic Or Covalent

Thus, the correct answer is choice B.