At the end of the lesson, you
are expected to find the area of
a circle in square meters and
centimeters, follow its process,
and manipulate and measure
the diameter and radius of the
circle.
FINDING THE AREA OF A CIRCLE
The radius is the distance from the
center of the circle to any point on
its boundary.
The measurement can be any unit
of length such as centimeters,
inches, or feet.
The letter symbol for radius is r
RADIUS OF A CIRCLE
r
r
The diameter is the distance across
the circle passing through its center,
connecting two points on the
opposite sides.
The measurement can be any unit of
length such as centimeters, inches,
or feet.
The diameter of a circle is two times
the radius
The letter symbol for diameter is d
DIAMETER OF A CIRCLE
d
The mathematical equation to calculate
area is A = ??????r²
The letter symbol to represent area is A
π is the pi. Its value is 3.14.
“r” stands for the radius of the circle.
The exponent “2” means that you have
to multiply the radius to itself.
CALCULATING AREA
what was the radius of the object you
measured?
r = N
= 3.14
Let’s use this formula:
Take note: If the diameter is given and
not the radius you have to divide it by 2
USING REAL WORLD EXAMPLES
ANOTHER EXAMPLE:
Every time it rains, Mrs. Flores saves
water in a big clay jar called “tapayan”.
She covers them with a circular
galvanized iron with a diameter of 10 cm.
What is the area of the circular cover?
WHAT ARE
THE GIVEN?
GROUP ACTIVITY
Use real objects and
measure its radius using the
ruler provided using cm,
then find its area. Write
your solution and answers
on the paper provided.
Write your solutions and answers on the
spaces provided on your worksheet.
1. Find the area of the circle with a
radius of 14 cm.
2. Find the area of the circle with a
diameter of 40 m.
SOLVE THIS!
r=14 cm
d = 40m