Circumference: Using Pythagoras' theorem

Increasing a specific element by addition of.....or multiplication by.......Verifying whether or not the formula is applicable Subtraction or addition to a larger shape A shape consisting of several shapes (requiring the same formula)Using variables Calculating parts of the circle Identifying and defining elements Using additional geometric shapes Worded problems Identify the greater value Finding Area based off Perimeter and Vice Versa Calculate The Missing Side based on the formula Applying the formula

Question 1

A square with sides measuring √2 is drawn inside a circle.
What is the circumference of the circle?

Question 2

Look at the triangle and circle below.

Which has the larger perimeter/circumference?

Question 3

Triangle ABC given in the drawing is isosceles, AB=AC

AD is perpendicular to BC

The circle whose diameter is AC is $13\pi$ cm

For side DC, a semicircle whose area is cm² is placed

What is the area of the triangle?

Examples with solutions for Circumference: Using Pythagoras' theorem

Exercise #1

A square with sides measuring √2 is drawn inside a circle.
What is the circumference of the circle?

Video Solution

Answer

$2\pi$

Exercise #2

Look at the triangle and circle below.

Which has the larger perimeter/circumference?

Video Solution

Answer

The circle

Exercise #3

Triangle ABC given in the drawing is isosceles, AB=AC

AD is perpendicular to BC

The circle whose diameter is AC is $13\pi$ cm

For side DC, a semicircle whose area is cm² is placed

What is the area of the triangle?

Video Solution

Answer

60 cm²