Constructions - Loci

Front

Where can Mr and Mrs Smith live if they want to be within 6 miles of Aston and 5 miles of Brightfield?

Back

The overlapping area of the circles with radius 6 miles from Aston and 5 miles from Brightfield.

Front

Where should the new supermarket be located? It needs to be closer to Construction City than Protractor Point and within 3 miles of Vertex View.

Back

Within 3 miles of Vertex View and closer to Construction City than Protractor Point

Front

On the map, which region should be shaded to show where the company can build the warehouse if it must be less than 3 miles from Burford and less than 5 miles from Hightown? (Scale = Length of 1 square is 1 mile.)

Back

The region inside both the circle of radius 3 miles from Burford and the circle of radius 5 miles from Hightown

Front

On the map, which region should be shaded to show where Ikea can build their mega store, given it must be less than 60 miles from Ashfield, less than 40 miles from Bransford, and less than 60 miles from Cliffview? (Scale = Length of 1 square is 10 miles.)

Back

The region inside the intersection of circles with radii 60 miles from Ashfield, 40 miles from Bransford, and 60 miles from Cliffview.

Front

The map shows the positions of two schools, Alford and Bancroft. A new school is going to be built. Which region on the map is the correct area where the new school can be built if it must be less than 5km from Alford and nearer to Bancroft than to Alford? (Scale = Length of 1 square is 1km.)

Back

The region inside a 5km radius of Alford and closer to Bancroft than to Alford.

Front

Where in the garden can John plant the tree if it must be more than 3 metres from the centre of the pond and more than 2 metres away from the patio? (Scale = Length of 2 squares is 1m.)

Back

In the region outside a 3m radius from the pond centre and outside a 2m boundary from the patio

Front

Where can Jane plant the tree in the rectangular garden ABCD if it must be at least 6m away from point C, at least 5m away from point B, and closer to B than A?

Back

In the region that is at least 6m from C, at least 5m from B, and closer to B than A, excluding the patio.

Front

What is the shape of the boundary locus for Billy and Nanny the goats tethered by 15m and 12m ropes respectively?

Back

Two circles with radii 15m and 12m centered at A and B respectively