FIND AREA OF A ELLIPSE WORKSHEET

Find the area of each figure :

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

The circle and the ellipse alongside have the same area. Find the radius of the circle.

Solution

Problem 8 :

A semicircular pond has a radius of 5 m, what is the area of the pond to the nearest m² ?

Problem 9 :

A semi circular mirror has a radius of 24 cm. What is the area of the mirror ?

Problem 10 :

You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board. Are you more likely to get 10 points or 0 points?

Problem 11 :

Find the areas of the sectors formed by ∠UTV.

Problem 12 :

A rectangular wall has an entrance cut into it. You want to paint the wall. To the nearest square foot, what is the area of the region you need to paint ?

Problem 13 :

Find the indicated measure when the diameter of a circle with an area of 676π square centimeters

Problem 14 :

Find the area of the figure given below

Problem 1 :

A farmer decides to fence a 400 m by 350 m field with a 4-strand wire fence. Find :

a) The perimeter of the field

b)  The total length of wire required

c) The total cost of wire required if a single strand of wire costs 12.4 cents per metre.

Solution

Problem 2 :

Boxes containing computers are fastened with three pieces of tape, as shown.

Each piece of tape is overlapped 5 cm at the join. Calculate the total length of tape required for 20 boxes.

Solution

Problem 3 :

The minute hand of a clock is 8 cm long. How far does the tip travel between 2.00 pm and 2.45 pm?

Solution

Problem 4 :

Which is the shorter path from A to B :

Around the 2 smaller semi-circles or around the large semi-circle?

Solution

Problem 5 :

A machine makes circular paper plates which have circumference 50 cm. find the diameter of a plate correct to the nearest mm.

Solution

Problem 6 :

A bicycle wheel has diameter 0.6 m.

a) Find the circumference of the wheel to the nearest mm.

b) Through how many revolutions must the wheel turn during a 100 km trip?

Solution

Problem 7 :

a)   Find the perimeter P of the figure alongside, giving your answer in simplest form.

b)   If the perimeter of the figure is 30 cm:

i)  Find x

ii)  Find the length of the longest side.

Solution

Problem 8 :

Length of a rectangular field is 220 m and width is 130 m. If a man runs around this field 3 times, find the distance covered by him?

Solution

Problem 9 :

Rahul walks around a square park once and covers 800 m. What will be the area of the park ?

Solution

Problem 10 :

The area of a rectangular field is 1600 sqm. If the length of the field is 80 m, find the perimeter of the field?

Solution

Find the area of each circle in terms of π.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

If the radius is 10 ft, what will be the area of the circle?

Solution

Problem 8 :

What is the area of a circle with a diameter of 16 in?

Solution

Problem 9 :

A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze? Express your answer in terms of π.

Solution

Problem 10 :

The Hillsboro Inlet Lighthouse lights up how much more area than the Jupiter Inlet Lighthouse?

Solution

Problem 11 :

A dog is leashed to the corner of a house. How much running area does the dog have? Explain how you found your answer.

Solution

Problem 12 :

Is the area of a semicircle with a diameter of x greater than, less than, or equal to the area of a circle with a diameter of (1/2) x ? Explain.

Solution

Problem 13 :

The heart-shaped card is made up of a square and two semicircles. What is the area of the card?

Solution

Problem 14 :

A desktop is shaped like a semicircle with a diameter of 28 inches. What is the area of the desktop?

Solution