Step-by-step explanation:
2/4(9) + 8
2/36 +8
using l.c.m
2+36(8)
__________
36
2+288=290/36 =8.1
Answer:
question 1 , area= 42.02 sq meter, circumference=22.98 meter
question 2, area=481.609sq meter, lenght of BC=263.3472 meter
for convience i converted yards to meter.
Step-by-step explanation:
in first question to find area of circle by multiplying value of pi (3.14) and square of radius of circle and to find circumference just multiply 2 with value of pi(3.14) and radius of circle.
in the second question to find area of sector use formula 1/2 r^2 x72 and to find lenght of arc bc use formula length= radius x 72
Answer:
117
Step-by-step explanation:
break the shape into parts !!
large rectangle at top: 15*5= 75
smaller rectangle: 6*7 = 42
add large and small parts together: 75+42= 117
19 3.4=12.2=24-5=19 so the answer is 19
Check the picture below.
now, let's rationalize the denominator for "r" first.
also notice, that section is just 1/4 of the area of that circle, so, let's just find the area of the whole circle with that "r", get one-quarter of it, and subtract it from the half of the area of the square.
![\bf r=\cfrac{8}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies r=\cfrac{8\sqrt{2}}{2}\implies \boxed{r=4\sqrt{2}} \\\\\\ \stackrel{\textit{area of that circle}}{A=\pi (4\sqrt{2})^2}\implies A=\pi (16\cdot 2)\implies A=32\pi \\\\\\ \textit{how much is one-quarter of that?}\quad \cfrac{32\pi }{4}\implies \boxed{8\pi }\\\\ -------------------------------\\\\](https://tex.z-dn.net/?f=%5Cbf%20r%3D%5Ccfrac%7B8%7D%7B%5Csqrt%7B2%7D%7D%5Ccdot%20%5Ccfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B2%7D%7D%5Cimplies%20r%3D%5Ccfrac%7B8%5Csqrt%7B2%7D%7D%7B2%7D%5Cimplies%20%5Cboxed%7Br%3D4%5Csqrt%7B2%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cstackrel%7B%5Ctextit%7Barea%20of%20that%20circle%7D%7D%7BA%3D%5Cpi%20%284%5Csqrt%7B2%7D%29%5E2%7D%5Cimplies%20A%3D%5Cpi%20%2816%5Ccdot%202%29%5Cimplies%20A%3D32%5Cpi%20%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bhow%20much%20is%20one-quarter%20of%20that%3F%7D%5Cquad%20%5Ccfrac%7B32%5Cpi%20%7D%7B4%7D%5Cimplies%20%5Cboxed%7B8%5Cpi%20%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C)