Question

If the area of the
yellow sector is
12π cm² ?, what is the
the
measure of
diagonal of
square in cm?
the
​

Answer 1

Answer:

Hope this is your answer

Answer 2

Given: area of the yellow sector is 12$\pi cm^{2}$

To find: measurement of diagonal of square in cm?

Explanation:

As we know know that,

                                Area of sector = (Ø/260)$r^{2}\pi$

                                Ø = 360 – 345°

                                     = 15°

                               12$\pi$ = (15/360)$r^{2}$

                               12x24 = $r^{2}$

                               $r$ = $12$$\sqrt{2}$

Now,

        The diameter of circle,

                              = side of square

                              = 2r

                              = 2x12$\sqrt{2}$

                              = 24$\sqrt{2}$

Diagonal of square,

                              = side × $\sqrt{2}$

                              = ($24\sqrt{2}$)$\sqrt{2}$

                              = 48cm.

Hence the answer is 48 cm.