Question

a rhombus has the same perimeter as the circumference of the circle. if each side of the Rhombus measure 33 cm find the radius of the circle​

Answer 1

2πr= 33*4

r= 33*4/2π

=21cm

Step-by-step explanation:

circumference of circle =2πr

all sides of rhombus are equal

therefore perimeter of rhombus=33+33+33+33

=33*4 cm

according to the question,

circumference of circle= perimeter of rhombus

or,2πr=33*4

or,r= 21cm

hope it helps you

Answer 2

Perimeter of rhombus is sum of all side = 4AB

=4×33=132 cm

It is equal to the circumference

\begin{gathered}2\pi r = 132 \\ 2 \times \frac{22}{7} \times r = 132 \\ r = \frac{132 \times 7}{22 \times 2} \\\end{gathered}

2πr=132

2×

7

22

×r=132

r=

22×2

132×7

\begin{gathered}r = 3 \times 7 \\ r = 21 \: cm\end{gathered}

r=3×7

r=21cm

The radius of the circle is 21