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Mathematics

2 answers:

dimaraw [331]2 years ago

8 0

Answer:

Step-by-step explanation:

2 is the square root of 4 since 2×2=4

Licemer1 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

Because 2 × 2 = 4, we know that 2 is the square root of 4.

√4 = 2

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3 years ago

What is greater 9/3, 2 3/4

gizmo_the_mogwai [7]

Answer:

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Step-by-step explanation:

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3 years ago

Find the area of the shaded portion intersecting between the two circles.

Zolol [24]

Look at the picture.

ΔABC and ΔBDC are <span>equilateral triangles.

Area of sector of a circle:
$\dfrac{60^o}{360^o}=\dfrac{1}{6}\\\\area\ of\ a\ circle\\A_O=\pi r^2;\ r=4\\A_O=\pi\cdot4^2=16\pi\\\\A_s=\dfrac{1}{6}A_O\to A_s=\dfrac{1}{6}\cdot16\pi=\boxed{\dfrac{8}{3}\pi}$

Area of the triangle ABC:
$A_\Delta=\dfrac{a^2\sqrt3}{4};\ a=4\\\\A_\Delta=\dfrac{4^2\sqrt3}{4}=\dfrac{16\sqrt3}{4}=\boxed{4\sqrt3}$

Area of the shaded portion:
$A=2(A_s-A_\Delta)\\\\\boxed{A=2\left(\dfrac{8}{3}\pi-4\sqrt3\right)\approx2.89}$
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