Could anyone help me with this? (we are learning area of a circle)

Mathematics

1 answer:

REY [17]4 years ago

8 0

Radius=diameter/2

semicircle=1/2pir^2
hmm
is area of circle with diameter of 1/2x
interesting
umm
the area of a semicircle with a diameter of x is (1/8)pix²
the area of a circle with diameter of 1/2x is (1/4)pix²
1/8pix² is 1/2 of 1/4pix²

first blank is 1/2 or half

circle's diameter is 1/2x
the radius of the seimicircle is x/2 or 1/2x
the circles's diameter is the same as the radius of the semicircle

the area of the semicircle with diameter of 4 is about
radius=4/2=2
1/2pi2^2=2pi or about 3.28 in²

area of circle with diameter of 2in is about
2/2=1, radus is 1
area=pi1²=pi=3.14 in²

answers

The area of a semicircle with a diameter of x is half the area of a circle with a diameter of $\frac{1}{2}x$

The circle's diameter is equal to the radius of the semicircle

The area of the semicircle is about 6.28 square inches.

The area of the circle with a diameter of 2 inches is about 3.14 square inches.

see attachment if you still don't know

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Helga [31]

Answer:

Step-by-step explanation:

We need the formula for arc length (in radians) to solve this problem. The formula is:

$s=r \theta$

Where

s is the arc length

r is the radius of the circle

$\theta$ is the intercepted angle

In this diagram, we can see that $\theta$ is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20

Also, if we look, we see that the radius is 5 cm, so r = 5

Now, we substitute into formula and find $\theta$ :

$s=r\theta\\20=5\theta\\\theta=\frac{20}{5}\\\theta=4$

This is given in radians, so $\theta$ is 4 radians

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