A) Muslims consider the Quran to be the holy book of Islam.
Answer(s):
Revising the area of a circle formula
We already know that the area of a circle is expressed as
.
- The "r" variable is known as the radius.
<h2><u>
Solving each problem given:</u></h2><h3>
Solving Problem 4:</h3>
We are given the radius of circle, which is 7 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.
![\implies \pi (7)^{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cpi%20%287%29%5E%7B2%7D)
<u>Take π as 22/7</u>
<em> </em>
![\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)(7)](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%5Ctext%7B%28%7D%5Cdfrac%7B22%7D%7B7%7D%20%5Chuge%5Ctext%7B%29%7D%287%29%287%29)
![\implies (22)(7)](https://tex.z-dn.net/?f=%5Cimplies%20%2822%29%287%29)
![\implies 154 \ \text{in}^{2}](https://tex.z-dn.net/?f=%5Cimplies%20154%20%5C%20%5Ctext%7Bin%7D%5E%7B2%7D)
<h3>Solving Problem 5:</h3>
In this problem, we are given the diameter to be 24 kilometers. Since the radius of the circle is half the diameter, we can tell that the radius of the circle is 24/2 kilometers, which is 12 kilometers.
![\implies \pi (12)^{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cpi%20%2812%29%5E%7B2%7D)
<u>Take π as 22/7</u>
![\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)^{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%5Ctext%7B%28%7D%5Cdfrac%7B22%7D%7B7%7D%5Chuge%5Ctext%7B%29%7D%20%2812%29%5E%7B2%7D)
![\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)(12)](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%5Ctext%7B%28%7D%5Cdfrac%7B22%7D%7B7%7D%5Chuge%5Ctext%7B%29%7D%20%2812%29%2812%29)
![\implies \dfrac{3168}{7} \ \text{km}^{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B3168%7D%7B7%7D%20%5C%20%5Ctext%7Bkm%7D%5E%7B2%7D)
<h3>Solving Problem 6:</h3>
We are given the radius of circle, which is 3.5 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.
![\implies \pi (3.5)^{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cpi%20%283.5%29%5E%7B2%7D)
<u>Take π as 22/7</u>
![\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)^{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%5Ctext%7B%28%7D%5Cdfrac%7B22%7D%7B7%7D%5Chuge%5Ctext%7B%29%7D%20%20%283.5%29%5E%7B2%7D)
![\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)(3.5)](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%5Ctext%7B%28%7D%5Cdfrac%7B22%7D%7B7%7D%5Chuge%5Ctext%7B%29%7D%20%20%283.5%29%283.5%29)
![\implies \huge\text{(}\dfrac{22}{2}\huge\text{)} (3.5) = (11) (3.5)](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%5Ctext%7B%28%7D%5Cdfrac%7B22%7D%7B2%7D%5Chuge%5Ctext%7B%29%7D%20%283.5%29%20%3D%20%2811%29%20%283.5%29)
![\implies 38.5 \ \text{m}^{2}](https://tex.z-dn.net/?f=%5Cimplies%2038.5%20%5C%20%5Ctext%7Bm%7D%5E%7B2%7D)
Note: <em>The radius given in this problem was not clearly stated. If the radius I stated here, is incorrect, please notify me in the comments. Thanks!</em>
Learn more about area of circles: brainly.com/question/12414551
Angles ∠ACD and ∠CAB are congruent because they are alternate angles. Then the area of the triangle AOB will be 22.53 square cm.
<h3>What is the
area of the right-angle triangle?</h3>
The area of the right-angle triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
We know that angles ∠ACD and ∠CAB are congruent because they are alternate angles.
α₁ = 40°
AO = OC = 7.8 cm
Then the area of the triangle will be
Area = 1/2 x 7.8 x 7.8 x tan40°
Area = 22.53 square cm
More about the area of the right-angle triangle link is given below.
brainly.com/question/16653962
#SPJ1
Answer:
answer 1, 135
Step-by-step explanation:
V=B+15
V+2B=180
Therefore:
3B+15=180
B=55
V=70
Check:
V+2B=180
70+2(55)=180
70+110=180
180=180. Checks.