Semicircle Shape

Introduction:

Semicircle shape:

Semicircle shape is the two dimensional geometrical figure that is formed from the half of the circle. The total angle in the circle is 360 degrees since the semicircle is half of the circle, the total angle in the semi circle is 180 degrees.

If the triangle is inscribed inside the semi circle is always right angled triangle.

Formula Related to Semicircle Shape:

The diameter of the semicircle shape is denoted by D and the radius of the semicircle is denoted by r.Diameter of the semicircle shape is twice the radius of the semicircle shape.

D= 2r units

Radius of the semicircle shape = `((diameter)/ 2) ` units

Area of the semicircle shape:

Area of the semicircle shape = `(180/360) (pi*r^2) ` square units

= `(1/2) (pi*r^2)`

Here r is the radius of the semicircle

Circumference of the semicircle shape:

Circumference of the semicircle shape = `(180/360) (2*pi*r)` units

= `(1/2) (2*pi*r)`

= `(pi*r)` units.     

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Model Problems for Semicircle Shape:

Problem 1:

Find the area of the semicircle shape whose diameter is 10cm?

Solution:

Diameter of the semicircle shape = 10 cm

Radius of the semicircle shape = `(10/2)`

= 5cm

Area of the semicircle shape:

Area of the semicircle shape = `(180/360) (pi*r^2)` square units

= `(1/2) (pi*r^2)`

Here r is the radius of the semicircle

= `(1/2) (3.14*5^2)`

= `((78.5)/2)`

= 39.25

Area of the semicircle shape is 39.25cm^2

Problem 2:

Find the circumference of the semicircle shape whose diameter is 10cm?

Solution:

Diameter of the semicircle shape = 10 cm

Radius of the semicircle shape = `(10/2)`

= 5cm

Circumference of the semicircle shape:

Circumference of the semicircle shape= `(180/360) (2*pi*r)` units

= `(1/2) (2*pi*r)`

= `(pi*r)` units.       

Here r is the radius of the semicircle

= (3.14*5)

= (15.7)

= 15.7

Circumference of the semicircle shape is 15.7 cm

Problem 3:

Find the area of the semicircle shape whose diameter is 40cm?

Solution:

Diameter of the semicircle shape = 40 cm

Radius of the semicircle shape = `(40/2)`

= 20cm

Area of the semicircle shape:

Area of the semicircle shape = `(180/360) (pi*r^2)` square units

= `(1/2) (pi*r^2)`

Here r is the radius of the semicircle

= `(1/2) (3.14*20^2)`

= `(1256/2)`

= 628

Area of the semicircle shape is 628cm^2