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pythagorean theorem and circles

Total questions: 10

Worksheet time: 17mins

Name
Class
Date
1.

Find x, using the Pythagorean Theorem.

a)

12

b)

24

c)

34

d)

36

2.

Find x in isosceles right triangle.

a)

2

b)

252\sqrt{5}

c)

262\sqrt{6}

d)

6

3.

Find x in  30°−60°−90°30\degree-60\degree-90\degree  triangle.

a)

 232\sqrt{3}  

b)

 333\sqrt{3}  

c)

5

d)

6

4.

What is value of x?

a)

2525

b)

25225\sqrt{2}

c)

25325\sqrt{3}

d)

3030

5.

What is the value of x and y ?

a)

x=3, y=10

b)

x=5, y=14

c)

x=6, y=16

d)

x=8, y=17

6.

What is the value of x?

a)

333\sqrt{3}

b)

363\sqrt{6}

c)

555\sqrt{5}

d)

666\sqrt{6}

7.

Find the radius of a circle with area  16π cm2.16\pi\ cm^2.  

a)

4 cm

b)

8 cm

c)

10 cm

d)

12 cm

8.

Find the area of shaded sector.

a)

4π cm24\pi\ cm^2

b)

5π cm25\pi\ cm^2

c)

16π cm216\pi\ cm^2

d)

25π cm225\pi\ cm^2

9.

Find the area of shaded part.

a)

15π cm215\pi\ cm^2

b)

16π cm216\pi\ cm^2

c)

24π cm224\pi\ cm^2

d)

32π cm232\pi\ cm^2

10.

Find the area of shaded sector.

a)

8π cm28\pi\ cm^2

b)

14π cm214\pi\ cm^2

c)

24π cm224\pi\ cm^2

d)

48π cm248\pi\ cm^2