Eportfolio 1/24/19

Tanisha Pal Singh

22 January 2019

Problem 1- We should know the formula arc= angle for this problem. i) We have to find out arc KL. We have been given LM as 67 and NM as 90 and we know sum of angles of straight line is 180. So KL, LM and NM are forming 180. We will add LM and NM and subtract from 180 which will give us KL.

ii) We have to find out LON which is equal to KL and KN. We already know KL as 23 and we know straight angle is 180. So we will add 23 and 180 which will give us 203 which is LON.

iii) We have to find out OM. OM would be equal to ON and NM. We know ON would be equal to KL because they are vertically opposite and KL is 23. So we will add 23 and 90 which will give us the value of OM as 113.

iv) We have to find out KNL. We know sum of angles in circle is 360 and we know KL also. So we can subtract 23 from 360 which will give us KNL as 337.

v) We have to find out NL. We have been given LM as 67 already and NM as 90. So we will add both of those to get NL.

Problem 2- We have been given diameter as 19 feet and the angle PQ as 128. We will find angle QR by subtracting 128 from 180 which will give us 52. We will use arc length formula to solve further. l=x÷360×2×pie×r OR l=x÷360×pie×d. We will plug in the values where x would be the angle and d would be diameter. We will get our length as 34.985 feet.

Problem 3- We have been first given a triangle in which we have been given perpendicular and base and we have to find out the hypotenuse which would be the diameter of the circle. We will use Pythagorean theorem and will find out hypotenuse which would be 25cm. The formula of circumference is pie multiplied by diameter or we can also do 2× pie×r. We can do pie× 25cm which will give us the circumference as 78.539cm.