Semicircle

Define Semicircle.

Semicircle is defined as a 2-D figure that is formed when a circle is cut into two halves along its diameter. The shape of the protractor in the geometry box is the shape that resembles the semicircle.

How many Sides in Semicircle?

A semicircle has two sides, one curved side, and one flat side.

What is Perimeter of Semicircle Formula?

Formula of perimeter of semicircle is determined by the sum of the circumference and the diameter of the semicircle. For a semicircle with radius (r) unit, perimeter of the semicircle is given by, Perimeter of Semicircle = (πr + 2r)

What is Area of Semicircle Formula?

Formula for Area of Semicircle with radius r is given by: Area of Semicircle = (πr²)/2

What is Radius of Semicircle?

The line drawn from the center of the semicircle to the circumference of the semicircle is called the radius of a semicircle.

What is Radius of Semicircle Formula?

You can find the radius of semicircle using the following formulas :

• If you know the diameter of the semicircle, the radius is half of this length:
  • Radius = Diameter / 2
• If you know the circumference of the full circle (C), you can use the formula for the circumference of a circle, C= 2πr, to find the radius. For a semicircle, you’d typically have half this circumference, so if you’re working from the curved length of the semicircle, you’d first need to double this to get the full circle’s circumference before applying the formula:
  • Radius = C / (2π)
• If you know the area of the full circle (A), you can use the formula for the area of a circle, A=πr², to find the radius. Again, for a semicircle, if you have the semicircle’s area, you’d need to double it to use this formula:
  • Radius = √(A/π).​

What is Angle Inscribed in Semicircle?

Angle formed by the lines drawn from the endpoints of the diameter to any point on the semicircle is the angle inscribed in a semicircle which is a right angle i.e., 90°.

How To Find Perimeter of Semicircle?

Perimeter is the sum of all the boundaries. The perimeter of a semicircle is the sum of the circumference of semicircle and the diameter of the semicircle.

What is Centroid of Semicircle?

Centroid of a Semicircle is a point that lies exactly in the middle of the semicircle along its vertical radius at a distance 4r/3π from the center of the semicircle.

Semicircle: In mathematics, particularly in geometry, a semicircle is defined as a one-dimensional set of points that make up half of a circle. It is a circular arc spanning 180 degrees, which is equivalent to π radians, or half of a full rotation. Semicircle is a half circle formed by cutting the circle into two halves. It is a circular arc that measures 180°, or π radians, or a half-turn. It only has one line of symmetry, called reflection symmetry.

In this article, we will discuss the concept of a semicircle, including its shape, formula, examples, perimeter, and area.